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Finding the Third Proportional to 878,070 and 1,313,361

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Solution

The third proportional to 878,070 and 1,313,361 is: 1,964,441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,070 : 1,313,361 = 1,313,361 : x
  2. Step 2: Convert to fraction form
    878,070/1,313,361 = 1,313,361/x
  3. Step 3: Cross multiply
    878,070x = 1,313,361 × 1,313,361
  4. Step 4: Simplify right side
    878,070x = 1,724,917,116,321
  5. Step 5: Solve for x
    x = 1,724,917,116,321/878,070
  6. Step 6: Final answer
    x = 1,964,441.46

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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.