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Finding the Third Proportional to 589,005 and 945,010.13

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Solution

The third proportional to 589,005 and 945,010.13 is: 1,516,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,005 : 945,010.13 = 945,010.13 : x
  2. Step 2: Convert to fraction form
    589,005/945,010.13 = 945,010.13/x
  3. Step 3: Cross multiply
    589,005x = 945,010.13 × 945,010.13
  4. Step 4: Simplify right side
    589,005x = 893,044,136,352.52
  5. Step 5: Solve for x
    x = 893,044,136,352.52/589,005
  6. Step 6: Final answer
    x = 1,516,191.10

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.