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Finding the Third Proportional to 872,100 and 1,870,290

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Solution

The third proportional to 872,100 and 1,870,290 is: 4,010,990.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,100 : 1,870,290 = 1,870,290 : x
  2. Step 2: Convert to fraction form
    872,100/1,870,290 = 1,870,290/x
  3. Step 3: Cross multiply
    872,100x = 1,870,290 × 1,870,290
  4. Step 4: Simplify right side
    872,100x = 3,497,984,684,100
  5. Step 5: Solve for x
    x = 3,497,984,684,100/872,100
  6. Step 6: Final answer
    x = 4,010,990.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.