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Finding the Third Proportional to 1,688,649 and 2,488,323

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Solution

The third proportional to 1,688,649 and 2,488,323 is: 3,666,689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,649 : 2,488,323 = 2,488,323 : x
  2. Step 2: Convert to fraction form
    1,688,649/2,488,323 = 2,488,323/x
  3. Step 3: Cross multiply
    1,688,649x = 2,488,323 × 2,488,323
  4. Step 4: Simplify right side
    1,688,649x = 6,191,751,352,329
  5. Step 5: Solve for x
    x = 6,191,751,352,329/1,688,649
  6. Step 6: Final answer
    x = 3,666,689.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.