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Finding the Third Proportional to 810,069 and 1,875,376.50

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Solution

The third proportional to 810,069 and 1,875,376.50 is: 4,341,651.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,069 : 1,875,376.50 = 1,875,376.50 : x
  2. Step 2: Convert to fraction form
    810,069/1,875,376.50 = 1,875,376.50/x
  3. Step 3: Cross multiply
    810,069x = 1,875,376.50 × 1,875,376.50
  4. Step 4: Simplify right side
    810,069x = 3,517,037,016,752.25
  5. Step 5: Solve for x
    x = 3,517,037,016,752.25/810,069
  6. Step 6: Final answer
    x = 4,341,651.16

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.