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Finding the Third Proportional to 540,315 and 1,250,731

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Solution

The third proportional to 540,315 and 1,250,731 is: 2,895,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,315 : 1,250,731 = 1,250,731 : x
  2. Step 2: Convert to fraction form
    540,315/1,250,731 = 1,250,731/x
  3. Step 3: Cross multiply
    540,315x = 1,250,731 × 1,250,731
  4. Step 4: Simplify right side
    540,315x = 1,564,328,034,361
  5. Step 5: Solve for x
    x = 1,564,328,034,361/540,315
  6. Step 6: Final answer
    x = 2,895,214.89

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.