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Finding the Third Proportional to 657,844 and 963,437

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Solution

The third proportional to 657,844 and 963,437 is: 1,410,989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,844 : 963,437 = 963,437 : x
  2. Step 2: Convert to fraction form
    657,844/963,437 = 963,437/x
  3. Step 3: Cross multiply
    657,844x = 963,437 × 963,437
  4. Step 4: Simplify right side
    657,844x = 928,210,852,969
  5. Step 5: Solve for x
    x = 928,210,852,969/657,844
  6. Step 6: Final answer
    x = 1,410,989.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.