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Finding the Third Proportional to 1,070,179.50 and 1,566,875

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Solution

The third proportional to 1,070,179.50 and 1,566,875 is: 2,294,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,179.50 : 1,566,875 = 1,566,875 : x
  2. Step 2: Convert to fraction form
    1,070,179.50/1,566,875 = 1,566,875/x
  3. Step 3: Cross multiply
    1,070,179.50x = 1,566,875 × 1,566,875
  4. Step 4: Simplify right side
    1,070,179.50x = 2,455,097,265,625
  5. Step 5: Solve for x
    x = 2,455,097,265,625/1,070,179.50
  6. Step 6: Final answer
    x = 2,294,098.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.