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Finding the Third Proportional to 1,013,052.75 and 1,604,143.13

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Solution

The third proportional to 1,013,052.75 and 1,604,143.13 is: 2,540,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,052.75 : 1,604,143.13 = 1,604,143.13 : x
  2. Step 2: Convert to fraction form
    1,013,052.75/1,604,143.13 = 1,604,143.13/x
  3. Step 3: Cross multiply
    1,013,052.75x = 1,604,143.13 × 1,604,143.13
  4. Step 4: Simplify right side
    1,013,052.75x = 2,573,275,165,484.77
  5. Step 5: Solve for x
    x = 2,573,275,165,484.77/1,013,052.75
  6. Step 6: Final answer
    x = 2,540,119.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.