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Finding the Third Proportional to 761,952 and 1,674,321

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Solution

The third proportional to 761,952 and 1,674,321 is: 3,679,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,952 : 1,674,321 = 1,674,321 : x
  2. Step 2: Convert to fraction form
    761,952/1,674,321 = 1,674,321/x
  3. Step 3: Cross multiply
    761,952x = 1,674,321 × 1,674,321
  4. Step 4: Simplify right side
    761,952x = 2,803,350,811,041
  5. Step 5: Solve for x
    x = 2,803,350,811,041/761,952
  6. Step 6: Final answer
    x = 3,679,169.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.