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Finding the Third Proportional to 2,262,074 and 4,681,603

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Solution

The third proportional to 2,262,074 and 4,681,603 is: 9,689,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262,074 : 4,681,603 = 4,681,603 : x
  2. Step 2: Convert to fraction form
    2,262,074/4,681,603 = 4,681,603/x
  3. Step 3: Cross multiply
    2,262,074x = 4,681,603 × 4,681,603
  4. Step 4: Simplify right side
    2,262,074x = 21,917,406,649,609
  5. Step 5: Solve for x
    x = 21,917,406,649,609/2,262,074
  6. Step 6: Final answer
    x = 9,689,075.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.