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Finding the Third Proportional to 583,749 and 1,282,428

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Solution

The third proportional to 583,749 and 1,282,428 is: 2,817,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,749 : 1,282,428 = 1,282,428 : x
  2. Step 2: Convert to fraction form
    583,749/1,282,428 = 1,282,428/x
  3. Step 3: Cross multiply
    583,749x = 1,282,428 × 1,282,428
  4. Step 4: Simplify right side
    583,749x = 1,644,621,575,184
  5. Step 5: Solve for x
    x = 1,644,621,575,184/583,749
  6. Step 6: Final answer
    x = 2,817,343.71

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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.