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Finding the Third Proportional to 722,064 and 1,564,531.50

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Solution

The third proportional to 722,064 and 1,564,531.50 is: 3,389,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,064 : 1,564,531.50 = 1,564,531.50 : x
  2. Step 2: Convert to fraction form
    722,064/1,564,531.50 = 1,564,531.50/x
  3. Step 3: Cross multiply
    722,064x = 1,564,531.50 × 1,564,531.50
  4. Step 4: Simplify right side
    722,064x = 2,447,758,814,492.25
  5. Step 5: Solve for x
    x = 2,447,758,814,492.25/722,064
  6. Step 6: Final answer
    x = 3,389,947.17

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Why These Related Problems?

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