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Finding the Third Proportional to 827,569 and 1,773,254

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Solution

The third proportional to 827,569 and 1,773,254 is: 3,799,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,569 : 1,773,254 = 1,773,254 : x
  2. Step 2: Convert to fraction form
    827,569/1,773,254 = 1,773,254/x
  3. Step 3: Cross multiply
    827,569x = 1,773,254 × 1,773,254
  4. Step 4: Simplify right side
    827,569x = 3,144,429,748,516
  5. Step 5: Solve for x
    x = 3,144,429,748,516/827,569
  6. Step 6: Final answer
    x = 3,799,598.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.