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Finding the Third Proportional to 1,784,893 and 2,602,563

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Solution

The third proportional to 1,784,893 and 2,602,563 is: 3,794,812.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,893 : 2,602,563 = 2,602,563 : x
  2. Step 2: Convert to fraction form
    1,784,893/2,602,563 = 2,602,563/x
  3. Step 3: Cross multiply
    1,784,893x = 2,602,563 × 2,602,563
  4. Step 4: Simplify right side
    1,784,893x = 6,773,334,168,969
  5. Step 5: Solve for x
    x = 6,773,334,168,969/1,784,893
  6. Step 6: Final answer
    x = 3,794,812.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.