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Finding the Third Proportional to 750,196 and 1,642,688

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Solution

The third proportional to 750,196 and 1,642,688 is: 3,596,958.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,196 : 1,642,688 = 1,642,688 : x
  2. Step 2: Convert to fraction form
    750,196/1,642,688 = 1,642,688/x
  3. Step 3: Cross multiply
    750,196x = 1,642,688 × 1,642,688
  4. Step 4: Simplify right side
    750,196x = 2,698,423,865,344
  5. Step 5: Solve for x
    x = 2,698,423,865,344/750,196
  6. Step 6: Final answer
    x = 3,596,958.48

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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.