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Finding the Third Proportional to 706,116 and 1,045,458

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Solution

The third proportional to 706,116 and 1,045,458 is: 1,547,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,116 : 1,045,458 = 1,045,458 : x
  2. Step 2: Convert to fraction form
    706,116/1,045,458 = 1,045,458/x
  3. Step 3: Cross multiply
    706,116x = 1,045,458 × 1,045,458
  4. Step 4: Simplify right side
    706,116x = 1,092,982,429,764
  5. Step 5: Solve for x
    x = 1,092,982,429,764/706,116
  6. Step 6: Final answer
    x = 1,547,879.43

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.