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Finding the Third Proportional to 700,686,472 and 985,468,642

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Solution

The third proportional to 700,686,472 and 985,468,642 is: 1,385,995,710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,686,472 : 985,468,642 = 985,468,642 : x
  2. Step 2: Convert to fraction form
    700,686,472/985,468,642 = 985,468,642/x
  3. Step 3: Cross multiply
    700,686,472x = 985,468,642 × 985,468,642
  4. Step 4: Simplify right side
    700,686,472x = 971,148,444,365,324,160
  5. Step 5: Solve for x
    x = 971,148,444,365,324,160/700,686,472
  6. Step 6: Final answer
    x = 1,385,995,710.17

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.