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Finding the Third Proportional to 896,985 and 1,426,396.50

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Solution

The third proportional to 896,985 and 1,426,396.50 is: 2,268,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,985 : 1,426,396.50 = 1,426,396.50 : x
  2. Step 2: Convert to fraction form
    896,985/1,426,396.50 = 1,426,396.50/x
  3. Step 3: Cross multiply
    896,985x = 1,426,396.50 × 1,426,396.50
  4. Step 4: Simplify right side
    896,985x = 2,034,606,975,212.25
  5. Step 5: Solve for x
    x = 2,034,606,975,212.25/896,985
  6. Step 6: Final answer
    x = 2,268,273.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.