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Finding the Third Proportional to 719,064 and 1,564,920

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Solution

The third proportional to 719,064 and 1,564,920 is: 3,405,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,064 : 1,564,920 = 1,564,920 : x
  2. Step 2: Convert to fraction form
    719,064/1,564,920 = 1,564,920/x
  3. Step 3: Cross multiply
    719,064x = 1,564,920 × 1,564,920
  4. Step 4: Simplify right side
    719,064x = 2,448,974,606,400
  5. Step 5: Solve for x
    x = 2,448,974,606,400/719,064
  6. Step 6: Final answer
    x = 3,405,781.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.