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Finding the Third Proportional to 716,771 and 1,539,784

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Solution

The third proportional to 716,771 and 1,539,784 is: 3,307,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,771 : 1,539,784 = 1,539,784 : x
  2. Step 2: Convert to fraction form
    716,771/1,539,784 = 1,539,784/x
  3. Step 3: Cross multiply
    716,771x = 1,539,784 × 1,539,784
  4. Step 4: Simplify right side
    716,771x = 2,370,934,766,656
  5. Step 5: Solve for x
    x = 2,370,934,766,656/716,771
  6. Step 6: Final answer
    x = 3,307,799.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.