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Finding the Third Proportional to 993,771 and 1,549,696.50

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Solution

The third proportional to 993,771 and 1,549,696.50 is: 2,416,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,771 : 1,549,696.50 = 1,549,696.50 : x
  2. Step 2: Convert to fraction form
    993,771/1,549,696.50 = 1,549,696.50/x
  3. Step 3: Cross multiply
    993,771x = 1,549,696.50 × 1,549,696.50
  4. Step 4: Simplify right side
    993,771x = 2,401,559,242,112.25
  5. Step 5: Solve for x
    x = 2,401,559,242,112.25/993,771
  6. Step 6: Final answer
    x = 2,416,612.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.