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Finding the Third Proportional to 1,297,444.50 and 1,935,424.13

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Solution

The third proportional to 1,297,444.50 and 1,935,424.13 is: 2,887,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,444.50 : 1,935,424.13 = 1,935,424.13 : x
  2. Step 2: Convert to fraction form
    1,297,444.50/1,935,424.13 = 1,935,424.13/x
  3. Step 3: Cross multiply
    1,297,444.50x = 1,935,424.13 × 1,935,424.13
  4. Step 4: Simplify right side
    1,297,444.50x = 3,745,866,543,632.02
  5. Step 5: Solve for x
    x = 3,745,866,543,632.02/1,297,444.50
  6. Step 6: Final answer
    x = 2,887,111.20

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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.