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Finding the Third Proportional to 545,748 and 1,148,049

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Solution

The third proportional to 545,748 and 1,148,049 is: 2,415,064.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,748 : 1,148,049 = 1,148,049 : x
  2. Step 2: Convert to fraction form
    545,748/1,148,049 = 1,148,049/x
  3. Step 3: Cross multiply
    545,748x = 1,148,049 × 1,148,049
  4. Step 4: Simplify right side
    545,748x = 1,318,016,506,401
  5. Step 5: Solve for x
    x = 1,318,016,506,401/545,748
  6. Step 6: Final answer
    x = 2,415,064.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.