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Finding the Third Proportional to 678,802 and 1,006,461

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Solution

The third proportional to 678,802 and 1,006,461 is: 1,492,281.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,802 : 1,006,461 = 1,006,461 : x
  2. Step 2: Convert to fraction form
    678,802/1,006,461 = 1,006,461/x
  3. Step 3: Cross multiply
    678,802x = 1,006,461 × 1,006,461
  4. Step 4: Simplify right side
    678,802x = 1,012,963,744,521
  5. Step 5: Solve for x
    x = 1,012,963,744,521/678,802
  6. Step 6: Final answer
    x = 1,492,281.61

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Why These Related Problems?

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