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Finding the Third Proportional to 589,768 and 895,596

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Solution

The third proportional to 589,768 and 895,596 is: 1,360,013.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,768 : 895,596 = 895,596 : x
  2. Step 2: Convert to fraction form
    589,768/895,596 = 895,596/x
  3. Step 3: Cross multiply
    589,768x = 895,596 × 895,596
  4. Step 4: Simplify right side
    589,768x = 802,092,195,216
  5. Step 5: Solve for x
    x = 802,092,195,216/589,768
  6. Step 6: Final answer
    x = 1,360,013.08

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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.