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Finding the Third Proportional to 719,088 and 1,560,402

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Solution

The third proportional to 719,088 and 1,560,402 is: 3,386,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,088 : 1,560,402 = 1,560,402 : x
  2. Step 2: Convert to fraction form
    719,088/1,560,402 = 1,560,402/x
  3. Step 3: Cross multiply
    719,088x = 1,560,402 × 1,560,402
  4. Step 4: Simplify right side
    719,088x = 2,434,854,401,604
  5. Step 5: Solve for x
    x = 2,434,854,401,604/719,088
  6. Step 6: Final answer
    x = 3,386,031.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.