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Finding the Third Proportional to 721,148 and 1,044,513

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Solution

The third proportional to 721,148 and 1,044,513 is: 1,512,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,148 : 1,044,513 = 1,044,513 : x
  2. Step 2: Convert to fraction form
    721,148/1,044,513 = 1,044,513/x
  3. Step 3: Cross multiply
    721,148x = 1,044,513 × 1,044,513
  4. Step 4: Simplify right side
    721,148x = 1,091,007,407,169
  5. Step 5: Solve for x
    x = 1,091,007,407,169/721,148
  6. Step 6: Final answer
    x = 1,512,875.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.