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Finding the Third Proportional to 963,744 and 1,411,047

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Solution

The third proportional to 963,744 and 1,411,047 is: 2,065,956.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,744 : 1,411,047 = 1,411,047 : x
  2. Step 2: Convert to fraction form
    963,744/1,411,047 = 1,411,047/x
  3. Step 3: Cross multiply
    963,744x = 1,411,047 × 1,411,047
  4. Step 4: Simplify right side
    963,744x = 1,991,053,636,209
  5. Step 5: Solve for x
    x = 1,991,053,636,209/963,744
  6. Step 6: Final answer
    x = 2,065,956.97

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.