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Finding the Third Proportional to 902,698 and 1,402,264

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Solution

The third proportional to 902,698 and 1,402,264 is: 2,178,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,698 : 1,402,264 = 1,402,264 : x
  2. Step 2: Convert to fraction form
    902,698/1,402,264 = 1,402,264/x
  3. Step 3: Cross multiply
    902,698x = 1,402,264 × 1,402,264
  4. Step 4: Simplify right side
    902,698x = 1,966,344,325,696
  5. Step 5: Solve for x
    x = 1,966,344,325,696/902,698
  6. Step 6: Final answer
    x = 2,178,296.98

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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.