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Finding the Third Proportional to 757,947 and 1,630,590

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Solution

The third proportional to 757,947 and 1,630,590 is: 3,507,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,947 : 1,630,590 = 1,630,590 : x
  2. Step 2: Convert to fraction form
    757,947/1,630,590 = 1,630,590/x
  3. Step 3: Cross multiply
    757,947x = 1,630,590 × 1,630,590
  4. Step 4: Simplify right side
    757,947x = 2,658,823,748,100
  5. Step 5: Solve for x
    x = 2,658,823,748,100/757,947
  6. Step 6: Final answer
    x = 3,507,928.32

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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.