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Finding the Third Proportional to 1,070,644.50 and 1,576,387.50

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Solution

The third proportional to 1,070,644.50 and 1,576,387.50 is: 2,321,029.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,644.50 : 1,576,387.50 = 1,576,387.50 : x
  2. Step 2: Convert to fraction form
    1,070,644.50/1,576,387.50 = 1,576,387.50/x
  3. Step 3: Cross multiply
    1,070,644.50x = 1,576,387.50 × 1,576,387.50
  4. Step 4: Simplify right side
    1,070,644.50x = 2,484,997,550,156.25
  5. Step 5: Solve for x
    x = 2,484,997,550,156.25/1,070,644.50
  6. Step 6: Final answer
    x = 2,321,029.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.