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Finding the Third Proportional to 2,370,765 and 5,120,597

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Solution

The third proportional to 2,370,765 and 5,120,597 is: 11,059,937.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370,765 : 5,120,597 = 5,120,597 : x
  2. Step 2: Convert to fraction form
    2,370,765/5,120,597 = 5,120,597/x
  3. Step 3: Cross multiply
    2,370,765x = 5,120,597 × 5,120,597
  4. Step 4: Simplify right side
    2,370,765x = 26,220,513,636,409
  5. Step 5: Solve for x
    x = 26,220,513,636,409/2,370,765
  6. Step 6: Final answer
    x = 11,059,937.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.