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Finding the Third Proportional to 719,076 and 1,563,660

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Solution

The third proportional to 719,076 and 1,563,660 is: 3,400,242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,076 : 1,563,660 = 1,563,660 : x
  2. Step 2: Convert to fraction form
    719,076/1,563,660 = 1,563,660/x
  3. Step 3: Cross multiply
    719,076x = 1,563,660 × 1,563,660
  4. Step 4: Simplify right side
    719,076x = 2,445,032,595,600
  5. Step 5: Solve for x
    x = 2,445,032,595,600/719,076
  6. Step 6: Final answer
    x = 3,400,242.25

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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.