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Finding the Third Proportional to 705,468 and 1,064,562

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Solution

The third proportional to 705,468 and 1,064,562 is: 1,606,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,468 : 1,064,562 = 1,064,562 : x
  2. Step 2: Convert to fraction form
    705,468/1,064,562 = 1,064,562/x
  3. Step 3: Cross multiply
    705,468x = 1,064,562 × 1,064,562
  4. Step 4: Simplify right side
    705,468x = 1,133,292,251,844
  5. Step 5: Solve for x
    x = 1,133,292,251,844/705,468
  6. Step 6: Final answer
    x = 1,606,440.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.