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Finding the Third Proportional to 910,221 and 1,427,812.50

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Solution

The third proportional to 910,221 and 1,427,812.50 is: 2,239,729.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,221 : 1,427,812.50 = 1,427,812.50 : x
  2. Step 2: Convert to fraction form
    910,221/1,427,812.50 = 1,427,812.50/x
  3. Step 3: Cross multiply
    910,221x = 1,427,812.50 × 1,427,812.50
  4. Step 4: Simplify right side
    910,221x = 2,038,648,535,156.25
  5. Step 5: Solve for x
    x = 2,038,648,535,156.25/910,221
  6. Step 6: Final answer
    x = 2,239,729.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.