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Finding the Third Proportional to 581,026 and 849,242

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Solution

The third proportional to 581,026 and 849,242 is: 1,241,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,026 : 849,242 = 849,242 : x
  2. Step 2: Convert to fraction form
    581,026/849,242 = 849,242/x
  3. Step 3: Cross multiply
    581,026x = 849,242 × 849,242
  4. Step 4: Simplify right side
    581,026x = 721,211,974,564
  5. Step 5: Solve for x
    x = 721,211,974,564/581,026
  6. Step 6: Final answer
    x = 1,241,273.15

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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.