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Finding the Third Proportional to 718,644 and 1,564,784

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Solution

The third proportional to 718,644 and 1,564,784 is: 3,407,179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,644 : 1,564,784 = 1,564,784 : x
  2. Step 2: Convert to fraction form
    718,644/1,564,784 = 1,564,784/x
  3. Step 3: Cross multiply
    718,644x = 1,564,784 × 1,564,784
  4. Step 4: Simplify right side
    718,644x = 2,448,548,966,656
  5. Step 5: Solve for x
    x = 2,448,548,966,656/718,644
  6. Step 6: Final answer
    x = 3,407,179.31

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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.