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Finding the Third Proportional to 1,657,836 and 2,492,904

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Solution

The third proportional to 1,657,836 and 2,492,904 is: 3,748,603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,836 : 2,492,904 = 2,492,904 : x
  2. Step 2: Convert to fraction form
    1,657,836/2,492,904 = 2,492,904/x
  3. Step 3: Cross multiply
    1,657,836x = 2,492,904 × 2,492,904
  4. Step 4: Simplify right side
    1,657,836x = 6,214,570,353,216
  5. Step 5: Solve for x
    x = 6,214,570,353,216/1,657,836
  6. Step 6: Final answer
    x = 3,748,603.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.