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Finding the Third Proportional to 575,185,428 and 1,257,987,996

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Solution

The third proportional to 575,185,428 and 1,257,987,996 is: 2,751,345,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,185,428 : 1,257,987,996 = 1,257,987,996 : x
  2. Step 2: Convert to fraction form
    575,185,428/1,257,987,996 = 1,257,987,996/x
  3. Step 3: Cross multiply
    575,185,428x = 1,257,987,996 × 1,257,987,996
  4. Step 4: Simplify right side
    575,185,428x = 1,582,533,798,080,096,000
  5. Step 5: Solve for x
    x = 1,582,533,798,080,096,000/575,185,428
  6. Step 6: Final answer
    x = 2,751,345,428.87

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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.