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Finding the Third Proportional to 898,370 and 1,346,169

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Solution

The third proportional to 898,370 and 1,346,169 is: 2,017,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,370 : 1,346,169 = 1,346,169 : x
  2. Step 2: Convert to fraction form
    898,370/1,346,169 = 1,346,169/x
  3. Step 3: Cross multiply
    898,370x = 1,346,169 × 1,346,169
  4. Step 4: Simplify right side
    898,370x = 1,812,170,976,561
  5. Step 5: Solve for x
    x = 1,812,170,976,561/898,370
  6. Step 6: Final answer
    x = 2,017,176.64

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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.