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Finding the Third Proportional to 1,710,406 and 3,692,000

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Solution

The third proportional to 1,710,406 and 3,692,000 is: 7,969,373.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710,406 : 3,692,000 = 3,692,000 : x
  2. Step 2: Convert to fraction form
    1,710,406/3,692,000 = 3,692,000/x
  3. Step 3: Cross multiply
    1,710,406x = 3,692,000 × 3,692,000
  4. Step 4: Simplify right side
    1,710,406x = 13,630,864,000,000
  5. Step 5: Solve for x
    x = 13,630,864,000,000/1,710,406
  6. Step 6: Final answer
    x = 7,969,373.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.