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Finding the Third Proportional to 456,921,693 and 696,095,919

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Solution

The third proportional to 456,921,693 and 696,095,919 is: 1,060,465,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,921,693 : 696,095,919 = 696,095,919 : x
  2. Step 2: Convert to fraction form
    456,921,693/696,095,919 = 696,095,919/x
  3. Step 3: Cross multiply
    456,921,693x = 696,095,919 × 696,095,919
  4. Step 4: Simplify right side
    456,921,693x = 484,549,528,448,454,592
  5. Step 5: Solve for x
    x = 484,549,528,448,454,592/456,921,693
  6. Step 6: Final answer
    x = 1,060,465,142.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.