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Finding the Third Proportional to 448,746 and 956,784

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Solution

The third proportional to 448,746 and 956,784 is: 2,039,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,746 : 956,784 = 956,784 : x
  2. Step 2: Convert to fraction form
    448,746/956,784 = 956,784/x
  3. Step 3: Cross multiply
    448,746x = 956,784 × 956,784
  4. Step 4: Simplify right side
    448,746x = 915,435,622,656
  5. Step 5: Solve for x
    x = 915,435,622,656/448,746
  6. Step 6: Final answer
    x = 2,039,986.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.