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Finding the Third Proportional to 970,709 and 1,469,637

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Solution

The third proportional to 970,709 and 1,469,637 is: 2,225,005.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,709 : 1,469,637 = 1,469,637 : x
  2. Step 2: Convert to fraction form
    970,709/1,469,637 = 1,469,637/x
  3. Step 3: Cross multiply
    970,709x = 1,469,637 × 1,469,637
  4. Step 4: Simplify right side
    970,709x = 2,159,832,911,769
  5. Step 5: Solve for x
    x = 2,159,832,911,769/970,709
  6. Step 6: Final answer
    x = 2,225,005.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.