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Finding the Third Proportional to 1,028,732.91 and 1,602,000.28

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Solution

The third proportional to 1,028,732.91 and 1,602,000.28 is: 2,494,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,732.91 : 1,602,000.28 = 1,602,000.28 : x
  2. Step 2: Convert to fraction form
    1,028,732.91/1,602,000.28 = 1,602,000.28/x
  3. Step 3: Cross multiply
    1,028,732.91x = 1,602,000.28 × 1,602,000.28
  4. Step 4: Simplify right side
    1,028,732.91x = 2,566,404,901,125.08
  5. Step 5: Solve for x
    x = 2,566,404,901,125.08/1,028,732.91
  6. Step 6: Final answer
    x = 2,494,724.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.