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Finding the Third Proportional to 914,607.56 and 1,358,650.13

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Solution

The third proportional to 914,607.56 and 1,358,650.13 is: 2,018,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,607.56 : 1,358,650.13 = 1,358,650.13 : x
  2. Step 2: Convert to fraction form
    914,607.56/1,358,650.13 = 1,358,650.13/x
  3. Step 3: Cross multiply
    914,607.56x = 1,358,650.13 × 1,358,650.13
  4. Step 4: Simplify right side
    914,607.56x = 1,845,930,162,162.52
  5. Step 5: Solve for x
    x = 1,845,930,162,162.52/914,607.56
  6. Step 6: Final answer
    x = 2,018,275.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.