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Finding the Third Proportional to 905,516 and 1,225,412

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Solution

The third proportional to 905,516 and 1,225,412 is: 1,658,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,516 : 1,225,412 = 1,225,412 : x
  2. Step 2: Convert to fraction form
    905,516/1,225,412 = 1,225,412/x
  3. Step 3: Cross multiply
    905,516x = 1,225,412 × 1,225,412
  4. Step 4: Simplify right side
    905,516x = 1,501,634,569,744
  5. Step 5: Solve for x
    x = 1,501,634,569,744/905,516
  6. Step 6: Final answer
    x = 1,658,319.20

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.