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Finding the Third Proportional to 565,407.84 and 1,219,384.13

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Solution

The third proportional to 565,407.84 and 1,219,384.13 is: 2,629,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,407.84 : 1,219,384.13 = 1,219,384.13 : x
  2. Step 2: Convert to fraction form
    565,407.84/1,219,384.13 = 1,219,384.13/x
  3. Step 3: Cross multiply
    565,407.84x = 1,219,384.13 × 1,219,384.13
  4. Step 4: Simplify right side
    565,407.84x = 1,486,897,644,302.02
  5. Step 5: Solve for x
    x = 1,486,897,644,302.02/565,407.84
  6. Step 6: Final answer
    x = 2,629,778.95

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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.