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Finding the Third Proportional to 1,070,977 and 1,427,809.50

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Solution

The third proportional to 1,070,977 and 1,427,809.50 is: 1,903,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,977 : 1,427,809.50 = 1,427,809.50 : x
  2. Step 2: Convert to fraction form
    1,070,977/1,427,809.50 = 1,427,809.50/x
  3. Step 3: Cross multiply
    1,070,977x = 1,427,809.50 × 1,427,809.50
  4. Step 4: Simplify right side
    1,070,977x = 2,038,639,968,290.25
  5. Step 5: Solve for x
    x = 2,038,639,968,290.25/1,070,977
  6. Step 6: Final answer
    x = 1,903,532.91

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.