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Finding the Third Proportional to 932,772 and 1,977,639

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Solution

The third proportional to 932,772 and 1,977,639 is: 4,192,938.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,772 : 1,977,639 = 1,977,639 : x
  2. Step 2: Convert to fraction form
    932,772/1,977,639 = 1,977,639/x
  3. Step 3: Cross multiply
    932,772x = 1,977,639 × 1,977,639
  4. Step 4: Simplify right side
    932,772x = 3,911,056,014,321
  5. Step 5: Solve for x
    x = 3,911,056,014,321/932,772
  6. Step 6: Final answer
    x = 4,192,938.91

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.