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Finding the Third Proportional to 540,924 and 1,154,220

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Solution

The third proportional to 540,924 and 1,154,220 is: 2,462,866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,924 : 1,154,220 = 1,154,220 : x
  2. Step 2: Convert to fraction form
    540,924/1,154,220 = 1,154,220/x
  3. Step 3: Cross multiply
    540,924x = 1,154,220 × 1,154,220
  4. Step 4: Simplify right side
    540,924x = 1,332,223,808,400
  5. Step 5: Solve for x
    x = 1,332,223,808,400/540,924
  6. Step 6: Final answer
    x = 2,462,866.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.