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Finding the Third Proportional to 2,507,712 and 5,918,784

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Solution

The third proportional to 2,507,712 and 5,918,784 is: 13,969,707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507,712 : 5,918,784 = 5,918,784 : x
  2. Step 2: Convert to fraction form
    2,507,712/5,918,784 = 5,918,784/x
  3. Step 3: Cross multiply
    2,507,712x = 5,918,784 × 5,918,784
  4. Step 4: Simplify right side
    2,507,712x = 35,032,004,038,656
  5. Step 5: Solve for x
    x = 35,032,004,038,656/2,507,712
  6. Step 6: Final answer
    x = 13,969,707.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.