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Finding the Third Proportional to 1,688,642 and 2,488,310

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Solution

The third proportional to 1,688,642 and 2,488,310 is: 3,666,666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,642 : 2,488,310 = 2,488,310 : x
  2. Step 2: Convert to fraction form
    1,688,642/2,488,310 = 2,488,310/x
  3. Step 3: Cross multiply
    1,688,642x = 2,488,310 × 2,488,310
  4. Step 4: Simplify right side
    1,688,642x = 6,191,686,656,100
  5. Step 5: Solve for x
    x = 6,191,686,656,100/1,688,642
  6. Step 6: Final answer
    x = 3,666,666.27

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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.