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Finding the Third Proportional to 705,460 and 1,064,550

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Solution

The third proportional to 705,460 and 1,064,550 is: 1,606,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,460 : 1,064,550 = 1,064,550 : x
  2. Step 2: Convert to fraction form
    705,460/1,064,550 = 1,064,550/x
  3. Step 3: Cross multiply
    705,460x = 1,064,550 × 1,064,550
  4. Step 4: Simplify right side
    705,460x = 1,133,266,702,500
  5. Step 5: Solve for x
    x = 1,133,266,702,500/705,460
  6. Step 6: Final answer
    x = 1,606,422.34

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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.