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Finding the Third Proportional to 486,996,603 and 1,042,947,534

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Solution

The third proportional to 486,996,603 and 1,042,947,534 is: 2,233,567,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,996,603 : 1,042,947,534 = 1,042,947,534 : x
  2. Step 2: Convert to fraction form
    486,996,603/1,042,947,534 = 1,042,947,534/x
  3. Step 3: Cross multiply
    486,996,603x = 1,042,947,534 × 1,042,947,534
  4. Step 4: Simplify right side
    486,996,603x = 1,087,739,558,676,681,216
  5. Step 5: Solve for x
    x = 1,087,739,558,676,681,216/486,996,603
  6. Step 6: Final answer
    x = 2,233,567,035.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.