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Finding the Third Proportional to 581,028 and 849,246

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Solution

The third proportional to 581,028 and 849,246 is: 1,241,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,028 : 849,246 = 849,246 : x
  2. Step 2: Convert to fraction form
    581,028/849,246 = 849,246/x
  3. Step 3: Cross multiply
    581,028x = 849,246 × 849,246
  4. Step 4: Simplify right side
    581,028x = 721,218,768,516
  5. Step 5: Solve for x
    x = 721,218,768,516/581,028
  6. Step 6: Final answer
    x = 1,241,280.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.