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Finding the Third Proportional to 614,190 and 1,328,981.25

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Solution

The third proportional to 614,190 and 1,328,981.25 is: 2,875,642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,190 : 1,328,981.25 = 1,328,981.25 : x
  2. Step 2: Convert to fraction form
    614,190/1,328,981.25 = 1,328,981.25/x
  3. Step 3: Cross multiply
    614,190x = 1,328,981.25 × 1,328,981.25
  4. Step 4: Simplify right side
    614,190x = 1,766,191,162,851.56
  5. Step 5: Solve for x
    x = 1,766,191,162,851.56/614,190
  6. Step 6: Final answer
    x = 2,875,642.98

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Why These Related Problems?

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