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Finding the Third Proportional to 705,642 and 1,060,053

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Solution

The third proportional to 705,642 and 1,060,053 is: 1,592,468.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,642 : 1,060,053 = 1,060,053 : x
  2. Step 2: Convert to fraction form
    705,642/1,060,053 = 1,060,053/x
  3. Step 3: Cross multiply
    705,642x = 1,060,053 × 1,060,053
  4. Step 4: Simplify right side
    705,642x = 1,123,712,362,809
  5. Step 5: Solve for x
    x = 1,123,712,362,809/705,642
  6. Step 6: Final answer
    x = 1,592,468.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.