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Finding the Third Proportional to 665,065 and 1,377,424

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Solution

The third proportional to 665,065 and 1,377,424 is: 2,852,799.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,065 : 1,377,424 = 1,377,424 : x
  2. Step 2: Convert to fraction form
    665,065/1,377,424 = 1,377,424/x
  3. Step 3: Cross multiply
    665,065x = 1,377,424 × 1,377,424
  4. Step 4: Simplify right side
    665,065x = 1,897,296,875,776
  5. Step 5: Solve for x
    x = 1,897,296,875,776/665,065
  6. Step 6: Final answer
    x = 2,852,799.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.