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Finding the Third Proportional to 824,265 and 1,307,677

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Solution

The third proportional to 824,265 and 1,307,677 is: 2,074,598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,265 : 1,307,677 = 1,307,677 : x
  2. Step 2: Convert to fraction form
    824,265/1,307,677 = 1,307,677/x
  3. Step 3: Cross multiply
    824,265x = 1,307,677 × 1,307,677
  4. Step 4: Simplify right side
    824,265x = 1,710,019,136,329
  5. Step 5: Solve for x
    x = 1,710,019,136,329/824,265
  6. Step 6: Final answer
    x = 2,074,598.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.