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Finding the Third Proportional to 1,688,645 and 2,488,317

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Solution

The third proportional to 1,688,645 and 2,488,317 is: 3,666,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,645 : 2,488,317 = 2,488,317 : x
  2. Step 2: Convert to fraction form
    1,688,645/2,488,317 = 2,488,317/x
  3. Step 3: Cross multiply
    1,688,645x = 2,488,317 × 2,488,317
  4. Step 4: Simplify right side
    1,688,645x = 6,191,721,492,489
  5. Step 5: Solve for x
    x = 6,191,721,492,489/1,688,645
  6. Step 6: Final answer
    x = 3,666,680.38

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