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Finding the Third Proportional to 722,184 and 1,564,896

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Solution

The third proportional to 722,184 and 1,564,896 is: 3,390,963.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,184 : 1,564,896 = 1,564,896 : x
  2. Step 2: Convert to fraction form
    722,184/1,564,896 = 1,564,896/x
  3. Step 3: Cross multiply
    722,184x = 1,564,896 × 1,564,896
  4. Step 4: Simplify right side
    722,184x = 2,448,899,490,816
  5. Step 5: Solve for x
    x = 2,448,899,490,816/722,184
  6. Step 6: Final answer
    x = 3,390,963.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.