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Finding the Third Proportional to 728,047,170 and 1,030,164,435

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Solution

The third proportional to 728,047,170 and 1,030,164,435 is: 1,457,651,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,047,170 : 1,030,164,435 = 1,030,164,435 : x
  2. Step 2: Convert to fraction form
    728,047,170/1,030,164,435 = 1,030,164,435/x
  3. Step 3: Cross multiply
    728,047,170x = 1,030,164,435 × 1,030,164,435
  4. Step 4: Simplify right side
    728,047,170x = 1,061,238,763,138,869,248
  5. Step 5: Solve for x
    x = 1,061,238,763,138,869,248/728,047,170
  6. Step 6: Final answer
    x = 1,457,651,106.78

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.