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Finding the Third Proportional to 707,764 and 1,539,942

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Solution

The third proportional to 707,764 and 1,539,942 is: 3,350,582.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,764 : 1,539,942 = 1,539,942 : x
  2. Step 2: Convert to fraction form
    707,764/1,539,942 = 1,539,942/x
  3. Step 3: Cross multiply
    707,764x = 1,539,942 × 1,539,942
  4. Step 4: Simplify right side
    707,764x = 2,371,421,363,364
  5. Step 5: Solve for x
    x = 2,371,421,363,364/707,764
  6. Step 6: Final answer
    x = 3,350,582.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.