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Finding the Third Proportional to 526,142 and 1,136,362

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Solution

The third proportional to 526,142 and 1,136,362 is: 2,454,315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,142 : 1,136,362 = 1,136,362 : x
  2. Step 2: Convert to fraction form
    526,142/1,136,362 = 1,136,362/x
  3. Step 3: Cross multiply
    526,142x = 1,136,362 × 1,136,362
  4. Step 4: Simplify right side
    526,142x = 1,291,318,595,044
  5. Step 5: Solve for x
    x = 1,291,318,595,044/526,142
  6. Step 6: Final answer
    x = 2,454,315.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.