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Finding the Third Proportional to 898,368 and 1,346,168

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Solution

The third proportional to 898,368 and 1,346,168 is: 2,017,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,368 : 1,346,168 = 1,346,168 : x
  2. Step 2: Convert to fraction form
    898,368/1,346,168 = 1,346,168/x
  3. Step 3: Cross multiply
    898,368x = 1,346,168 × 1,346,168
  4. Step 4: Simplify right side
    898,368x = 1,812,168,284,224
  5. Step 5: Solve for x
    x = 1,812,168,284,224/898,368
  6. Step 6: Final answer
    x = 2,017,178.13

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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.