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Finding the Third Proportional to 662,035 and 1,417,382

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Solution

The third proportional to 662,035 and 1,417,382 is: 3,034,540.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,035 : 1,417,382 = 1,417,382 : x
  2. Step 2: Convert to fraction form
    662,035/1,417,382 = 1,417,382/x
  3. Step 3: Cross multiply
    662,035x = 1,417,382 × 1,417,382
  4. Step 4: Simplify right side
    662,035x = 2,008,971,733,924
  5. Step 5: Solve for x
    x = 2,008,971,733,924/662,035
  6. Step 6: Final answer
    x = 3,034,540.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.