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Finding the Third Proportional to 448,596 and 980,784

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Solution

The third proportional to 448,596 and 980,784 is: 2,144,328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,596 : 980,784 = 980,784 : x
  2. Step 2: Convert to fraction form
    448,596/980,784 = 980,784/x
  3. Step 3: Cross multiply
    448,596x = 980,784 × 980,784
  4. Step 4: Simplify right side
    448,596x = 961,937,254,656
  5. Step 5: Solve for x
    x = 961,937,254,656/448,596
  6. Step 6: Final answer
    x = 2,144,328.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.