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Finding the Third Proportional to 1,124,368.50 and 1,727,167.50

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Solution

The third proportional to 1,124,368.50 and 1,727,167.50 is: 2,653,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124,368.50 : 1,727,167.50 = 1,727,167.50 : x
  2. Step 2: Convert to fraction form
    1,124,368.50/1,727,167.50 = 1,727,167.50/x
  3. Step 3: Cross multiply
    1,124,368.50x = 1,727,167.50 × 1,727,167.50
  4. Step 4: Simplify right side
    1,124,368.50x = 2,983,107,573,056.25
  5. Step 5: Solve for x
    x = 2,983,107,573,056.25/1,124,368.50
  6. Step 6: Final answer
    x = 2,653,140.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.