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Finding the Third Proportional to 2,029,784 and 4,365,748

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Solution

The third proportional to 2,029,784 and 4,365,748 is: 9,390,041.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029,784 : 4,365,748 = 4,365,748 : x
  2. Step 2: Convert to fraction form
    2,029,784/4,365,748 = 4,365,748/x
  3. Step 3: Cross multiply
    2,029,784x = 4,365,748 × 4,365,748
  4. Step 4: Simplify right side
    2,029,784x = 19,059,755,599,504
  5. Step 5: Solve for x
    x = 19,059,755,599,504/2,029,784
  6. Step 6: Final answer
    x = 9,390,041.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.