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Finding the Third Proportional to 883,210 and 1,400,810

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Solution

The third proportional to 883,210 and 1,400,810 is: 2,221,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,210 : 1,400,810 = 1,400,810 : x
  2. Step 2: Convert to fraction form
    883,210/1,400,810 = 1,400,810/x
  3. Step 3: Cross multiply
    883,210x = 1,400,810 × 1,400,810
  4. Step 4: Simplify right side
    883,210x = 1,962,268,656,100
  5. Step 5: Solve for x
    x = 1,962,268,656,100/883,210
  6. Step 6: Final answer
    x = 2,221,746.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.