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Finding the Third Proportional to 633,616 and 1,312,142

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Solution

The third proportional to 633,616 and 1,312,142 is: 2,717,287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,616 : 1,312,142 = 1,312,142 : x
  2. Step 2: Convert to fraction form
    633,616/1,312,142 = 1,312,142/x
  3. Step 3: Cross multiply
    633,616x = 1,312,142 × 1,312,142
  4. Step 4: Simplify right side
    633,616x = 1,721,716,628,164
  5. Step 5: Solve for x
    x = 1,721,716,628,164/633,616
  6. Step 6: Final answer
    x = 2,717,287.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.