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Finding the Third Proportional to 749,508.19 and 1,068,211.13

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Solution

The third proportional to 749,508.19 and 1,068,211.13 is: 1,522,431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,508.19 : 1,068,211.13 = 1,068,211.13 : x
  2. Step 2: Convert to fraction form
    749,508.19/1,068,211.13 = 1,068,211.13/x
  3. Step 3: Cross multiply
    749,508.19x = 1,068,211.13 × 1,068,211.13
  4. Step 4: Simplify right side
    749,508.19x = 1,141,075,007,573.77
  5. Step 5: Solve for x
    x = 1,141,075,007,573.77/749,508.19
  6. Step 6: Final answer
    x = 1,522,431.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.