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Finding the Third Proportional to 549,490 and 1,158,020

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Solution

The third proportional to 549,490 and 1,158,020 is: 2,440,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,490 : 1,158,020 = 1,158,020 : x
  2. Step 2: Convert to fraction form
    549,490/1,158,020 = 1,158,020/x
  3. Step 3: Cross multiply
    549,490x = 1,158,020 × 1,158,020
  4. Step 4: Simplify right side
    549,490x = 1,341,010,320,400
  5. Step 5: Solve for x
    x = 1,341,010,320,400/549,490
  6. Step 6: Final answer
    x = 2,440,463.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.