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Finding the Third Proportional to 731,426 and 1,097,139

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Solution

The third proportional to 731,426 and 1,097,139 is: 1,645,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,426 : 1,097,139 = 1,097,139 : x
  2. Step 2: Convert to fraction form
    731,426/1,097,139 = 1,097,139/x
  3. Step 3: Cross multiply
    731,426x = 1,097,139 × 1,097,139
  4. Step 4: Simplify right side
    731,426x = 1,203,713,985,321
  5. Step 5: Solve for x
    x = 1,203,713,985,321/731,426
  6. Step 6: Final answer
    x = 1,645,708.50

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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.