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Finding the Third Proportional to 784,628 and 1,663,417

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Solution

The third proportional to 784,628 and 1,663,417 is: 3,526,456.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,628 : 1,663,417 = 1,663,417 : x
  2. Step 2: Convert to fraction form
    784,628/1,663,417 = 1,663,417/x
  3. Step 3: Cross multiply
    784,628x = 1,663,417 × 1,663,417
  4. Step 4: Simplify right side
    784,628x = 2,766,956,115,889
  5. Step 5: Solve for x
    x = 2,766,956,115,889/784,628
  6. Step 6: Final answer
    x = 3,526,456.00

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.