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Finding the Third Proportional to 716,618 and 1,084,191

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Solution

The third proportional to 716,618 and 1,084,191 is: 1,640,302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,618 : 1,084,191 = 1,084,191 : x
  2. Step 2: Convert to fraction form
    716,618/1,084,191 = 1,084,191/x
  3. Step 3: Cross multiply
    716,618x = 1,084,191 × 1,084,191
  4. Step 4: Simplify right side
    716,618x = 1,175,470,124,481
  5. Step 5: Solve for x
    x = 1,175,470,124,481/716,618
  6. Step 6: Final answer
    x = 1,640,302.26

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Why These Related Problems?

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