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Finding the Third Proportional to 876,470 and 1,370,063

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Solution

The third proportional to 876,470 and 1,370,063 is: 2,141,627.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,470 : 1,370,063 = 1,370,063 : x
  2. Step 2: Convert to fraction form
    876,470/1,370,063 = 1,370,063/x
  3. Step 3: Cross multiply
    876,470x = 1,370,063 × 1,370,063
  4. Step 4: Simplify right side
    876,470x = 1,877,072,623,969
  5. Step 5: Solve for x
    x = 1,877,072,623,969/876,470
  6. Step 6: Final answer
    x = 2,141,627.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.