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Finding the Third Proportional to 1,657,824 and 3,615,360

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Solution

The third proportional to 1,657,824 and 3,615,360 is: 7,884,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,824 : 3,615,360 = 3,615,360 : x
  2. Step 2: Convert to fraction form
    1,657,824/3,615,360 = 3,615,360/x
  3. Step 3: Cross multiply
    1,657,824x = 3,615,360 × 3,615,360
  4. Step 4: Simplify right side
    1,657,824x = 13,070,827,929,600
  5. Step 5: Solve for x
    x = 13,070,827,929,600/1,657,824
  6. Step 6: Final answer
    x = 7,884,327.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.