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Finding the Third Proportional to 905,517 and 1,225,413

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Solution

The third proportional to 905,517 and 1,225,413 is: 1,658,320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,517 : 1,225,413 = 1,225,413 : x
  2. Step 2: Convert to fraction form
    905,517/1,225,413 = 1,225,413/x
  3. Step 3: Cross multiply
    905,517x = 1,225,413 × 1,225,413
  4. Step 4: Simplify right side
    905,517x = 1,501,637,020,569
  5. Step 5: Solve for x
    x = 1,501,637,020,569/905,517
  6. Step 6: Final answer
    x = 1,658,320.08

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Why These Related Problems?

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