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Finding the Third Proportional to 929,013 and 1,357,672.50

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Solution

The third proportional to 929,013 and 1,357,672.50 is: 1,984,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,013 : 1,357,672.50 = 1,357,672.50 : x
  2. Step 2: Convert to fraction form
    929,013/1,357,672.50 = 1,357,672.50/x
  3. Step 3: Cross multiply
    929,013x = 1,357,672.50 × 1,357,672.50
  4. Step 4: Simplify right side
    929,013x = 1,843,274,617,256.25
  5. Step 5: Solve for x
    x = 1,843,274,617,256.25/929,013
  6. Step 6: Final answer
    x = 1,984,121.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.