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Finding the Third Proportional to 589,952 and 895,802

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Solution

The third proportional to 589,952 and 895,802 is: 1,360,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,952 : 895,802 = 895,802 : x
  2. Step 2: Convert to fraction form
    589,952/895,802 = 895,802/x
  3. Step 3: Cross multiply
    589,952x = 895,802 × 895,802
  4. Step 4: Simplify right side
    589,952x = 802,461,223,204
  5. Step 5: Solve for x
    x = 802,461,223,204/589,952
  6. Step 6: Final answer
    x = 1,360,214.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.