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Finding the Third Proportional to 601,448 and 895,692

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Solution

The third proportional to 601,448 and 895,692 is: 1,333,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,448 : 895,692 = 895,692 : x
  2. Step 2: Convert to fraction form
    601,448/895,692 = 895,692/x
  3. Step 3: Cross multiply
    601,448x = 895,692 × 895,692
  4. Step 4: Simplify right side
    601,448x = 802,264,158,864
  5. Step 5: Solve for x
    x = 802,264,158,864/601,448
  6. Step 6: Final answer
    x = 1,333,887.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.