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Finding the Third Proportional to 1,140,414.19 and 1,594,368.56

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Solution

The third proportional to 1,140,414.19 and 1,594,368.56 is: 2,229,024.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,414.19 : 1,594,368.56 = 1,594,368.56 : x
  2. Step 2: Convert to fraction form
    1,140,414.19/1,594,368.56 = 1,594,368.56/x
  3. Step 3: Cross multiply
    1,140,414.19x = 1,594,368.56 × 1,594,368.56
  4. Step 4: Simplify right side
    1,140,414.19x = 2,542,011,113,088.32
  5. Step 5: Solve for x
    x = 2,542,011,113,088.32/1,140,414.19
  6. Step 6: Final answer
    x = 2,229,024.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.