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Finding the Third Proportional to 698,929 and 1,528,711

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Solution

The third proportional to 698,929 and 1,528,711 is: 3,343,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,929 : 1,528,711 = 1,528,711 : x
  2. Step 2: Convert to fraction form
    698,929/1,528,711 = 1,528,711/x
  3. Step 3: Cross multiply
    698,929x = 1,528,711 × 1,528,711
  4. Step 4: Simplify right side
    698,929x = 2,336,957,321,521
  5. Step 5: Solve for x
    x = 2,336,957,321,521/698,929
  6. Step 6: Final answer
    x = 3,343,626.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.