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Finding the Third Proportional to 502,070 and 1,103,648

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Solution

The third proportional to 502,070 and 1,103,648 is: 2,426,034.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,070 : 1,103,648 = 1,103,648 : x
  2. Step 2: Convert to fraction form
    502,070/1,103,648 = 1,103,648/x
  3. Step 3: Cross multiply
    502,070x = 1,103,648 × 1,103,648
  4. Step 4: Simplify right side
    502,070x = 1,218,038,907,904
  5. Step 5: Solve for x
    x = 1,218,038,907,904/502,070
  6. Step 6: Final answer
    x = 2,426,034.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.