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Finding the Third Proportional to 1,165,311 and 1,574,437.50

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Solution

The third proportional to 1,165,311 and 1,574,437.50 is: 2,127,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,311 : 1,574,437.50 = 1,574,437.50 : x
  2. Step 2: Convert to fraction form
    1,165,311/1,574,437.50 = 1,574,437.50/x
  3. Step 3: Cross multiply
    1,165,311x = 1,574,437.50 × 1,574,437.50
  4. Step 4: Simplify right side
    1,165,311x = 2,478,853,441,406.25
  5. Step 5: Solve for x
    x = 2,478,853,441,406.25/1,165,311
  6. Step 6: Final answer
    x = 2,127,203.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.