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Finding the Third Proportional to 788,178 and 1,708,068

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Solution

The third proportional to 788,178 and 1,708,068 is: 3,701,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,178 : 1,708,068 = 1,708,068 : x
  2. Step 2: Convert to fraction form
    788,178/1,708,068 = 1,708,068/x
  3. Step 3: Cross multiply
    788,178x = 1,708,068 × 1,708,068
  4. Step 4: Simplify right side
    788,178x = 2,917,496,292,624
  5. Step 5: Solve for x
    x = 2,917,496,292,624/788,178
  6. Step 6: Final answer
    x = 3,701,570.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.