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Finding the Third Proportional to 738,126 and 1,205,283

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Solution

The third proportional to 738,126 and 1,205,283 is: 1,968,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,126 : 1,205,283 = 1,205,283 : x
  2. Step 2: Convert to fraction form
    738,126/1,205,283 = 1,205,283/x
  3. Step 3: Cross multiply
    738,126x = 1,205,283 × 1,205,283
  4. Step 4: Simplify right side
    738,126x = 1,452,707,110,089
  5. Step 5: Solve for x
    x = 1,452,707,110,089/738,126
  6. Step 6: Final answer
    x = 1,968,101.80

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.