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Finding the Third Proportional to 614,637 and 1,341,342

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Solution

The third proportional to 614,637 and 1,341,342 is: 2,927,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,637 : 1,341,342 = 1,341,342 : x
  2. Step 2: Convert to fraction form
    614,637/1,341,342 = 1,341,342/x
  3. Step 3: Cross multiply
    614,637x = 1,341,342 × 1,341,342
  4. Step 4: Simplify right side
    614,637x = 1,799,198,360,964
  5. Step 5: Solve for x
    x = 1,799,198,360,964/614,637
  6. Step 6: Final answer
    x = 2,927,253.58

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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.