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Finding the Third Proportional to 498,492,457.13 and 1,090,798,467

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Solution

The third proportional to 498,492,457.13 and 1,090,798,467 is: 2,386,879,236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,492,457.13 : 1,090,798,467 = 1,090,798,467 : x
  2. Step 2: Convert to fraction form
    498,492,457.13/1,090,798,467 = 1,090,798,467/x
  3. Step 3: Cross multiply
    498,492,457.13x = 1,090,798,467 × 1,090,798,467
  4. Step 4: Simplify right side
    498,492,457.13x = 1,189,841,295,609,550,080
  5. Step 5: Solve for x
    x = 1,189,841,295,609,550,080/498,492,457.13
  6. Step 6: Final answer
    x = 2,386,879,236.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.