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Finding the Third Proportional to 1,509,684 and 3,299,304

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Solution

The third proportional to 1,509,684 and 3,299,304 is: 7,210,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509,684 : 3,299,304 = 3,299,304 : x
  2. Step 2: Convert to fraction form
    1,509,684/3,299,304 = 3,299,304/x
  3. Step 3: Cross multiply
    1,509,684x = 3,299,304 × 3,299,304
  4. Step 4: Simplify right side
    1,509,684x = 10,885,406,884,416
  5. Step 5: Solve for x
    x = 10,885,406,884,416/1,509,684
  6. Step 6: Final answer
    x = 7,210,387.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.