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Finding the Third Proportional to 525,560 and 1,191,428

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Solution

The third proportional to 525,560 and 1,191,428 is: 2,700,929.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,560 : 1,191,428 = 1,191,428 : x
  2. Step 2: Convert to fraction form
    525,560/1,191,428 = 1,191,428/x
  3. Step 3: Cross multiply
    525,560x = 1,191,428 × 1,191,428
  4. Step 4: Simplify right side
    525,560x = 1,419,500,679,184
  5. Step 5: Solve for x
    x = 1,419,500,679,184/525,560
  6. Step 6: Final answer
    x = 2,700,929.83

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.