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Finding the Third Proportional to 1,089,532,892 and 1,528,830,331

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Solution

The third proportional to 1,089,532,892 and 1,528,830,331 is: 2,145,251,601.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089,532,892 : 1,528,830,331 = 1,528,830,331 : x
  2. Step 2: Convert to fraction form
    1,089,532,892/1,528,830,331 = 1,528,830,331/x
  3. Step 3: Cross multiply
    1,089,532,892x = 1,528,830,331 × 1,528,830,331
  4. Step 4: Simplify right side
    1,089,532,892x = 2,337,322,180,985,569,792
  5. Step 5: Solve for x
    x = 2,337,322,180,985,569,792/1,089,532,892
  6. Step 6: Final answer
    x = 2,145,251,601.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.