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Finding the Third Proportional to 743,644 and 1,526,840

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Solution

The third proportional to 743,644 and 1,526,840 is: 3,134,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,644 : 1,526,840 = 1,526,840 : x
  2. Step 2: Convert to fraction form
    743,644/1,526,840 = 1,526,840/x
  3. Step 3: Cross multiply
    743,644x = 1,526,840 × 1,526,840
  4. Step 4: Simplify right side
    743,644x = 2,331,240,385,600
  5. Step 5: Solve for x
    x = 2,331,240,385,600/743,644
  6. Step 6: Final answer
    x = 3,134,887.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.