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Finding the Third Proportional to 930,891,457 and 1,388,264,604

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Solution

The third proportional to 930,891,457 and 1,388,264,604 is: 2,070,358,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,891,457 : 1,388,264,604 = 1,388,264,604 : x
  2. Step 2: Convert to fraction form
    930,891,457/1,388,264,604 = 1,388,264,604/x
  3. Step 3: Cross multiply
    930,891,457x = 1,388,264,604 × 1,388,264,604
  4. Step 4: Simplify right side
    930,891,457x = 1,927,278,610,719,276,800
  5. Step 5: Solve for x
    x = 1,927,278,610,719,276,800/930,891,457
  6. Step 6: Final answer
    x = 2,070,358,038.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.