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Finding the Third Proportional to 780,425,282 and 1,121,745,054

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Solution

The third proportional to 780,425,282 and 1,121,745,054 is: 1,612,341,367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,425,282 : 1,121,745,054 = 1,121,745,054 : x
  2. Step 2: Convert to fraction form
    780,425,282/1,121,745,054 = 1,121,745,054/x
  3. Step 3: Cross multiply
    780,425,282x = 1,121,745,054 × 1,121,745,054
  4. Step 4: Simplify right side
    780,425,282x = 1,258,311,966,173,463,040
  5. Step 5: Solve for x
    x = 1,258,311,966,173,463,040/780,425,282
  6. Step 6: Final answer
    x = 1,612,341,367.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.