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Finding the Third Proportional to 1,032,784 and 1,564,632

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Solution

The third proportional to 1,032,784 and 1,564,632 is: 2,370,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,784 : 1,564,632 = 1,564,632 : x
  2. Step 2: Convert to fraction form
    1,032,784/1,564,632 = 1,564,632/x
  3. Step 3: Cross multiply
    1,032,784x = 1,564,632 × 1,564,632
  4. Step 4: Simplify right side
    1,032,784x = 2,448,073,295,424
  5. Step 5: Solve for x
    x = 2,448,073,295,424/1,032,784
  6. Step 6: Final answer
    x = 2,370,363.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.