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Finding the Third Proportional to 657,610 and 1,434,370

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Solution

The third proportional to 657,610 and 1,434,370 is: 3,128,628.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,610 : 1,434,370 = 1,434,370 : x
  2. Step 2: Convert to fraction form
    657,610/1,434,370 = 1,434,370/x
  3. Step 3: Cross multiply
    657,610x = 1,434,370 × 1,434,370
  4. Step 4: Simplify right side
    657,610x = 2,057,417,296,900
  5. Step 5: Solve for x
    x = 2,057,417,296,900/657,610
  6. Step 6: Final answer
    x = 3,128,628.36

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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.