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Finding the Third Proportional to 581,076 and 1,265,076

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Solution

The third proportional to 581,076 and 1,265,076 is: 2,754,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,076 : 1,265,076 = 1,265,076 : x
  2. Step 2: Convert to fraction form
    581,076/1,265,076 = 1,265,076/x
  3. Step 3: Cross multiply
    581,076x = 1,265,076 × 1,265,076
  4. Step 4: Simplify right side
    581,076x = 1,600,417,285,776
  5. Step 5: Solve for x
    x = 1,600,417,285,776/581,076
  6. Step 6: Final answer
    x = 2,754,230.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.