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Finding the Third Proportional to 929,002 and 1,406,346

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Solution

The third proportional to 929,002 and 1,406,346 is: 2,128,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,002 : 1,406,346 = 1,406,346 : x
  2. Step 2: Convert to fraction form
    929,002/1,406,346 = 1,406,346/x
  3. Step 3: Cross multiply
    929,002x = 1,406,346 × 1,406,346
  4. Step 4: Simplify right side
    929,002x = 1,977,809,071,716
  5. Step 5: Solve for x
    x = 1,977,809,071,716/929,002
  6. Step 6: Final answer
    x = 2,128,961.05

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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.