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Finding the Third Proportional to 1,258,560,374 and 1,905,310,316

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Solution

The third proportional to 1,258,560,374 and 1,905,310,316 is: 2,884,412,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258,560,374 : 1,905,310,316 = 1,905,310,316 : x
  2. Step 2: Convert to fraction form
    1,258,560,374/1,905,310,316 = 1,905,310,316/x
  3. Step 3: Cross multiply
    1,258,560,374x = 1,905,310,316 × 1,905,310,316
  4. Step 4: Simplify right side
    1,258,560,374x = 3,630,207,400,256,019,968
  5. Step 5: Solve for x
    x = 3,630,207,400,256,019,968/1,258,560,374
  6. Step 6: Final answer
    x = 2,884,412,599.71

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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.