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Finding the Third Proportional to 784,984 and 1,243,620

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Solution

The third proportional to 784,984 and 1,243,620 is: 1,970,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,984 : 1,243,620 = 1,243,620 : x
  2. Step 2: Convert to fraction form
    784,984/1,243,620 = 1,243,620/x
  3. Step 3: Cross multiply
    784,984x = 1,243,620 × 1,243,620
  4. Step 4: Simplify right side
    784,984x = 1,546,590,704,400
  5. Step 5: Solve for x
    x = 1,546,590,704,400/784,984
  6. Step 6: Final answer
    x = 1,970,219.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.