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Finding the Third Proportional to 2,507,796 and 3,584,784

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Solution

The third proportional to 2,507,796 and 3,584,784 is: 5,124,290.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507,796 : 3,584,784 = 3,584,784 : x
  2. Step 2: Convert to fraction form
    2,507,796/3,584,784 = 3,584,784/x
  3. Step 3: Cross multiply
    2,507,796x = 3,584,784 × 3,584,784
  4. Step 4: Simplify right side
    2,507,796x = 12,850,676,326,656
  5. Step 5: Solve for x
    x = 12,850,676,326,656/2,507,796
  6. Step 6: Final answer
    x = 5,124,290.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.