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Finding the Third Proportional to 393,886,412 and 911,775,740

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Solution

The third proportional to 393,886,412 and 911,775,740 is: 2,110,595,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,886,412 : 911,775,740 = 911,775,740 : x
  2. Step 2: Convert to fraction form
    393,886,412/911,775,740 = 911,775,740/x
  3. Step 3: Cross multiply
    393,886,412x = 911,775,740 × 911,775,740
  4. Step 4: Simplify right side
    393,886,412x = 831,335,000,052,547,584
  5. Step 5: Solve for x
    x = 831,335,000,052,547,584/393,886,412
  6. Step 6: Final answer
    x = 2,110,595,782.76

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.