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Finding the Third Proportional to 506,952,900 and 1,086,663,924

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Solution

The third proportional to 506,952,900 and 1,086,663,924 is: 2,329,286,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,952,900 : 1,086,663,924 = 1,086,663,924 : x
  2. Step 2: Convert to fraction form
    506,952,900/1,086,663,924 = 1,086,663,924/x
  3. Step 3: Cross multiply
    506,952,900x = 1,086,663,924 × 1,086,663,924
  4. Step 4: Simplify right side
    506,952,900x = 1,180,838,483,723,077,888
  5. Step 5: Solve for x
    x = 1,180,838,483,723,077,888/506,952,900
  6. Step 6: Final answer
    x = 2,329,286,376.95

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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.