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Finding the Third Proportional to 4,089,312 and 6,191,280

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Solution

The third proportional to 4,089,312 and 6,191,280 is: 9,373,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089,312 : 6,191,280 = 6,191,280 : x
  2. Step 2: Convert to fraction form
    4,089,312/6,191,280 = 6,191,280/x
  3. Step 3: Cross multiply
    4,089,312x = 6,191,280 × 6,191,280
  4. Step 4: Simplify right side
    4,089,312x = 38,331,948,038,400
  5. Step 5: Solve for x
    x = 38,331,948,038,400/4,089,312
  6. Step 6: Final answer
    x = 9,373,691.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.