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Finding the Third Proportional to 714,258 and 1,080,603

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Solution

The third proportional to 714,258 and 1,080,603 is: 1,634,847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,258 : 1,080,603 = 1,080,603 : x
  2. Step 2: Convert to fraction form
    714,258/1,080,603 = 1,080,603/x
  3. Step 3: Cross multiply
    714,258x = 1,080,603 × 1,080,603
  4. Step 4: Simplify right side
    714,258x = 1,167,702,843,609
  5. Step 5: Solve for x
    x = 1,167,702,843,609/714,258
  6. Step 6: Final answer
    x = 1,634,847.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.