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Finding the Third Proportional to 962,901 and 1,490,160.38

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Solution

The third proportional to 962,901 and 1,490,160.38 is: 2,306,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,901 : 1,490,160.38 = 1,490,160.38 : x
  2. Step 2: Convert to fraction form
    962,901/1,490,160.38 = 1,490,160.38/x
  3. Step 3: Cross multiply
    962,901x = 1,490,160.38 × 1,490,160.38
  4. Step 4: Simplify right side
    962,901x = 2,220,577,943,220.14
  5. Step 5: Solve for x
    x = 2,220,577,943,220.14/962,901
  6. Step 6: Final answer
    x = 2,306,133.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.