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Finding the Third Proportional to 874,323 and 1,312,294.50

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Solution

The third proportional to 874,323 and 1,312,294.50 is: 1,969,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,323 : 1,312,294.50 = 1,312,294.50 : x
  2. Step 2: Convert to fraction form
    874,323/1,312,294.50 = 1,312,294.50/x
  3. Step 3: Cross multiply
    874,323x = 1,312,294.50 × 1,312,294.50
  4. Step 4: Simplify right side
    874,323x = 1,722,116,854,730.25
  5. Step 5: Solve for x
    x = 1,722,116,854,730.25/874,323
  6. Step 6: Final answer
    x = 1,969,657.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.