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Finding the Third Proportional to 456,922,060 and 696,096,436

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Solution

The third proportional to 456,922,060 and 696,096,436 is: 1,060,465,866.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,922,060 : 696,096,436 = 696,096,436 : x
  2. Step 2: Convert to fraction form
    456,922,060/696,096,436 = 696,096,436/x
  3. Step 3: Cross multiply
    456,922,060x = 696,096,436 × 696,096,436
  4. Step 4: Simplify right side
    456,922,060x = 484,550,248,211,902,080
  5. Step 5: Solve for x
    x = 484,550,248,211,902,080/456,922,060
  6. Step 6: Final answer
    x = 1,060,465,866.35

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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.