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Finding the Third Proportional to 471,226,498 and 759,271,418

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Solution

The third proportional to 471,226,498 and 759,271,418 is: 1,223,388,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,226,498 : 759,271,418 = 759,271,418 : x
  2. Step 2: Convert to fraction form
    471,226,498/759,271,418 = 759,271,418/x
  3. Step 3: Cross multiply
    471,226,498x = 759,271,418 × 759,271,418
  4. Step 4: Simplify right side
    471,226,498x = 576,493,086,191,730,688
  5. Step 5: Solve for x
    x = 576,493,086,191,730,688/471,226,498
  6. Step 6: Final answer
    x = 1,223,388,516.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.