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Finding the Third Proportional to 471,838,698 and 1,034,376,658

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Solution

The third proportional to 471,838,698 and 1,034,376,658 is: 2,267,586,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,838,698 : 1,034,376,658 = 1,034,376,658 : x
  2. Step 2: Convert to fraction form
    471,838,698/1,034,376,658 = 1,034,376,658/x
  3. Step 3: Cross multiply
    471,838,698x = 1,034,376,658 × 1,034,376,658
  4. Step 4: Simplify right side
    471,838,698x = 1,069,935,070,615,249,024
  5. Step 5: Solve for x
    x = 1,069,935,070,615,249,024/471,838,698
  6. Step 6: Final answer
    x = 2,267,586,518.76

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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.