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Finding the Third Proportional to 611,712 and 1,439,226

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Solution

The third proportional to 611,712 and 1,439,226 is: 3,386,187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,712 : 1,439,226 = 1,439,226 : x
  2. Step 2: Convert to fraction form
    611,712/1,439,226 = 1,439,226/x
  3. Step 3: Cross multiply
    611,712x = 1,439,226 × 1,439,226
  4. Step 4: Simplify right side
    611,712x = 2,071,371,479,076
  5. Step 5: Solve for x
    x = 2,071,371,479,076/611,712
  6. Step 6: Final answer
    x = 3,386,187.42

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.