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Finding the Third Proportional to 720,706,852 and 1,123,196,682.75

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Solution

The third proportional to 720,706,852 and 1,123,196,682.75 is: 1,750,463,152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,706,852 : 1,123,196,682.75 = 1,123,196,682.75 : x
  2. Step 2: Convert to fraction form
    720,706,852/1,123,196,682.75 = 1,123,196,682.75/x
  3. Step 3: Cross multiply
    720,706,852x = 1,123,196,682.75 × 1,123,196,682.75
  4. Step 4: Simplify right side
    720,706,852x = 1,261,570,788,140,604,160
  5. Step 5: Solve for x
    x = 1,261,570,788,140,604,160/720,706,852
  6. Step 6: Final answer
    x = 1,750,463,152.44

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.