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Finding the Third Proportional to 564,752 and 1,175,968

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Solution

The third proportional to 564,752 and 1,175,968 is: 2,448,686.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,752 : 1,175,968 = 1,175,968 : x
  2. Step 2: Convert to fraction form
    564,752/1,175,968 = 1,175,968/x
  3. Step 3: Cross multiply
    564,752x = 1,175,968 × 1,175,968
  4. Step 4: Simplify right side
    564,752x = 1,382,900,737,024
  5. Step 5: Solve for x
    x = 1,382,900,737,024/564,752
  6. Step 6: Final answer
    x = 2,448,686.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.