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Finding the Third Proportional to 902,759 and 1,402,343

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Solution

The third proportional to 902,759 and 1,402,343 is: 2,178,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,759 : 1,402,343 = 1,402,343 : x
  2. Step 2: Convert to fraction form
    902,759/1,402,343 = 1,402,343/x
  3. Step 3: Cross multiply
    902,759x = 1,402,343 × 1,402,343
  4. Step 4: Simplify right side
    902,759x = 1,966,565,889,649
  5. Step 5: Solve for x
    x = 1,966,565,889,649/902,759
  6. Step 6: Final answer
    x = 2,178,395.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.