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Finding the Third Proportional to 913,432 and 1,277,029

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Solution

The third proportional to 913,432 and 1,277,029 is: 1,785,357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,432 : 1,277,029 = 1,277,029 : x
  2. Step 2: Convert to fraction form
    913,432/1,277,029 = 1,277,029/x
  3. Step 3: Cross multiply
    913,432x = 1,277,029 × 1,277,029
  4. Step 4: Simplify right side
    913,432x = 1,630,803,066,841
  5. Step 5: Solve for x
    x = 1,630,803,066,841/913,432
  6. Step 6: Final answer
    x = 1,785,357.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.