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Finding the Third Proportional to 417,036.09 and 910,526.06

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Solution

The third proportional to 417,036.09 and 910,526.06 is: 1,987,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,036.09 : 910,526.06 = 910,526.06 : x
  2. Step 2: Convert to fraction form
    417,036.09/910,526.06 = 910,526.06/x
  3. Step 3: Cross multiply
    417,036.09x = 910,526.06 × 910,526.06
  4. Step 4: Simplify right side
    417,036.09x = 829,057,710,491.75
  5. Step 5: Solve for x
    x = 829,057,710,491.75/417,036.09
  6. Step 6: Final answer
    x = 1,987,975.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.