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Finding the Third Proportional to 968,712 and 1,329,784

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Solution

The third proportional to 968,712 and 1,329,784 is: 1,825,439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,712 : 1,329,784 = 1,329,784 : x
  2. Step 2: Convert to fraction form
    968,712/1,329,784 = 1,329,784/x
  3. Step 3: Cross multiply
    968,712x = 1,329,784 × 1,329,784
  4. Step 4: Simplify right side
    968,712x = 1,768,325,486,656
  5. Step 5: Solve for x
    x = 1,768,325,486,656/968,712
  6. Step 6: Final answer
    x = 1,825,439.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.