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Finding the Third Proportional to 949,970 and 1,487,163

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Solution

The third proportional to 949,970 and 1,487,163 is: 2,328,130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,970 : 1,487,163 = 1,487,163 : x
  2. Step 2: Convert to fraction form
    949,970/1,487,163 = 1,487,163/x
  3. Step 3: Cross multiply
    949,970x = 1,487,163 × 1,487,163
  4. Step 4: Simplify right side
    949,970x = 2,211,653,788,569
  5. Step 5: Solve for x
    x = 2,211,653,788,569/949,970
  6. Step 6: Final answer
    x = 2,328,130.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.