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Finding the Third Proportional to 596,160 and 1,299,384

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Solution

The third proportional to 596,160 and 1,299,384 is: 2,832,123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,160 : 1,299,384 = 1,299,384 : x
  2. Step 2: Convert to fraction form
    596,160/1,299,384 = 1,299,384/x
  3. Step 3: Cross multiply
    596,160x = 1,299,384 × 1,299,384
  4. Step 4: Simplify right side
    596,160x = 1,688,398,779,456
  5. Step 5: Solve for x
    x = 1,688,398,779,456/596,160
  6. Step 6: Final answer
    x = 2,832,123.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.