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Finding the Third Proportional to 719,739 and 1,528,038

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Solution

The third proportional to 719,739 and 1,528,038 is: 3,244,092.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,739 : 1,528,038 = 1,528,038 : x
  2. Step 2: Convert to fraction form
    719,739/1,528,038 = 1,528,038/x
  3. Step 3: Cross multiply
    719,739x = 1,528,038 × 1,528,038
  4. Step 4: Simplify right side
    719,739x = 2,334,900,129,444
  5. Step 5: Solve for x
    x = 2,334,900,129,444/719,739
  6. Step 6: Final answer
    x = 3,244,092.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.