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Finding the Third Proportional to 659,488 and 1,421,352

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Solution

The third proportional to 659,488 and 1,421,352 is: 3,063,348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,488 : 1,421,352 = 1,421,352 : x
  2. Step 2: Convert to fraction form
    659,488/1,421,352 = 1,421,352/x
  3. Step 3: Cross multiply
    659,488x = 1,421,352 × 1,421,352
  4. Step 4: Simplify right side
    659,488x = 2,020,241,507,904
  5. Step 5: Solve for x
    x = 2,020,241,507,904/659,488
  6. Step 6: Final answer
    x = 3,063,348.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.