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Finding the Third Proportional to 649,922 and 1,402,603

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Solution

The third proportional to 649,922 and 1,402,603 is: 3,026,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,922 : 1,402,603 = 1,402,603 : x
  2. Step 2: Convert to fraction form
    649,922/1,402,603 = 1,402,603/x
  3. Step 3: Cross multiply
    649,922x = 1,402,603 × 1,402,603
  4. Step 4: Simplify right side
    649,922x = 1,967,295,175,609
  5. Step 5: Solve for x
    x = 1,967,295,175,609/649,922
  6. Step 6: Final answer
    x = 3,026,971.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.