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Finding the Third Proportional to 760,698 and 1,648,242

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Solution

The third proportional to 760,698 and 1,648,242 is: 3,571,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,698 : 1,648,242 = 1,648,242 : x
  2. Step 2: Convert to fraction form
    760,698/1,648,242 = 1,648,242/x
  3. Step 3: Cross multiply
    760,698x = 1,648,242 × 1,648,242
  4. Step 4: Simplify right side
    760,698x = 2,716,701,690,564
  5. Step 5: Solve for x
    x = 2,716,701,690,564/760,698
  6. Step 6: Final answer
    x = 3,571,327.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.