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Finding the Third Proportional to 4,486,620 and 6,735,618

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Solution

The third proportional to 4,486,620 and 6,735,618 is: 10,111,966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,620 : 6,735,618 = 6,735,618 : x
  2. Step 2: Convert to fraction form
    4,486,620/6,735,618 = 6,735,618/x
  3. Step 3: Cross multiply
    4,486,620x = 6,735,618 × 6,735,618
  4. Step 4: Simplify right side
    4,486,620x = 45,368,549,841,924
  5. Step 5: Solve for x
    x = 45,368,549,841,924/4,486,620
  6. Step 6: Final answer
    x = 10,111,966.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.