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Finding the Third Proportional to 935,475 and 1,411,677

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Solution

The third proportional to 935,475 and 1,411,677 is: 2,130,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,475 : 1,411,677 = 1,411,677 : x
  2. Step 2: Convert to fraction form
    935,475/1,411,677 = 1,411,677/x
  3. Step 3: Cross multiply
    935,475x = 1,411,677 × 1,411,677
  4. Step 4: Simplify right side
    935,475x = 1,992,831,952,329
  5. Step 5: Solve for x
    x = 1,992,831,952,329/935,475
  6. Step 6: Final answer
    x = 2,130,288.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.