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Finding the Third Proportional to 1,114,907.50 and 1,646,117

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Solution

The third proportional to 1,114,907.50 and 1,646,117 is: 2,430,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114,907.50 : 1,646,117 = 1,646,117 : x
  2. Step 2: Convert to fraction form
    1,114,907.50/1,646,117 = 1,646,117/x
  3. Step 3: Cross multiply
    1,114,907.50x = 1,646,117 × 1,646,117
  4. Step 4: Simplify right side
    1,114,907.50x = 2,709,701,177,689
  5. Step 5: Solve for x
    x = 2,709,701,177,689/1,114,907.50
  6. Step 6: Final answer
    x = 2,430,426.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.