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Finding the Third Proportional to 581,552 and 1,271,116

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Solution

The third proportional to 581,552 and 1,271,116 is: 2,778,317.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,552 : 1,271,116 = 1,271,116 : x
  2. Step 2: Convert to fraction form
    581,552/1,271,116 = 1,271,116/x
  3. Step 3: Cross multiply
    581,552x = 1,271,116 × 1,271,116
  4. Step 4: Simplify right side
    581,552x = 1,615,735,885,456
  5. Step 5: Solve for x
    x = 1,615,735,885,456/581,552
  6. Step 6: Final answer
    x = 2,778,317.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.