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Finding the Third Proportional to 678,810 and 1,006,472

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Solution

The third proportional to 678,810 and 1,006,472 is: 1,492,296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,810 : 1,006,472 = 1,006,472 : x
  2. Step 2: Convert to fraction form
    678,810/1,006,472 = 1,006,472/x
  3. Step 3: Cross multiply
    678,810x = 1,006,472 × 1,006,472
  4. Step 4: Simplify right side
    678,810x = 1,012,985,886,784
  5. Step 5: Solve for x
    x = 1,012,985,886,784/678,810
  6. Step 6: Final answer
    x = 1,492,296.65

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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.