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Finding the Third Proportional to 610,784 and 913,368

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Solution

The third proportional to 610,784 and 913,368 is: 1,365,852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,784 : 913,368 = 913,368 : x
  2. Step 2: Convert to fraction form
    610,784/913,368 = 913,368/x
  3. Step 3: Cross multiply
    610,784x = 913,368 × 913,368
  4. Step 4: Simplify right side
    610,784x = 834,241,103,424
  5. Step 5: Solve for x
    x = 834,241,103,424/610,784
  6. Step 6: Final answer
    x = 1,365,852.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.