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Finding the Third Proportional to 801,051 and 1,239,931.50

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Solution

The third proportional to 801,051 and 1,239,931.50 is: 1,919,266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,051 : 1,239,931.50 = 1,239,931.50 : x
  2. Step 2: Convert to fraction form
    801,051/1,239,931.50 = 1,239,931.50/x
  3. Step 3: Cross multiply
    801,051x = 1,239,931.50 × 1,239,931.50
  4. Step 4: Simplify right side
    801,051x = 1,537,430,124,692.25
  5. Step 5: Solve for x
    x = 1,537,430,124,692.25/801,051
  6. Step 6: Final answer
    x = 1,919,266.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.