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Finding the Third Proportional to 1,016,509.88 and 1,490,814.84

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Solution

The third proportional to 1,016,509.88 and 1,490,814.84 is: 2,186,431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,509.88 : 1,490,814.84 = 1,490,814.84 : x
  2. Step 2: Convert to fraction form
    1,016,509.88/1,490,814.84 = 1,490,814.84/x
  3. Step 3: Cross multiply
    1,016,509.88x = 1,490,814.84 × 1,490,814.84
  4. Step 4: Simplify right side
    1,016,509.88x = 2,222,528,898,345.34
  5. Step 5: Solve for x
    x = 2,222,528,898,345.34/1,016,509.88
  6. Step 6: Final answer
    x = 2,186,431.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.