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Finding the Third Proportional to 657,411 and 1,365,366

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Solution

The third proportional to 657,411 and 1,365,366 is: 2,835,706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,411 : 1,365,366 = 1,365,366 : x
  2. Step 2: Convert to fraction form
    657,411/1,365,366 = 1,365,366/x
  3. Step 3: Cross multiply
    657,411x = 1,365,366 × 1,365,366
  4. Step 4: Simplify right side
    657,411x = 1,864,224,313,956
  5. Step 5: Solve for x
    x = 1,864,224,313,956/657,411
  6. Step 6: Final answer
    x = 2,835,706.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.