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Finding the Third Proportional to 818,784 and 1,776,730

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Solution

The third proportional to 818,784 and 1,776,730 is: 3,855,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,784 : 1,776,730 = 1,776,730 : x
  2. Step 2: Convert to fraction form
    818,784/1,776,730 = 1,776,730/x
  3. Step 3: Cross multiply
    818,784x = 1,776,730 × 1,776,730
  4. Step 4: Simplify right side
    818,784x = 3,156,769,492,900
  5. Step 5: Solve for x
    x = 3,156,769,492,900/818,784
  6. Step 6: Final answer
    x = 3,855,436.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.