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Finding the Third Proportional to 714,643 and 1,569,268

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Solution

The third proportional to 714,643 and 1,569,268 is: 3,445,919.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,643 : 1,569,268 = 1,569,268 : x
  2. Step 2: Convert to fraction form
    714,643/1,569,268 = 1,569,268/x
  3. Step 3: Cross multiply
    714,643x = 1,569,268 × 1,569,268
  4. Step 4: Simplify right side
    714,643x = 2,462,602,055,824
  5. Step 5: Solve for x
    x = 2,462,602,055,824/714,643
  6. Step 6: Final answer
    x = 3,445,919.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.