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Finding the Third Proportional to 1,665,460.50 and 3,583,519.50

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Solution

The third proportional to 1,665,460.50 and 3,583,519.50 is: 7,710,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665,460.50 : 3,583,519.50 = 3,583,519.50 : x
  2. Step 2: Convert to fraction form
    1,665,460.50/3,583,519.50 = 3,583,519.50/x
  3. Step 3: Cross multiply
    1,665,460.50x = 3,583,519.50 × 3,583,519.50
  4. Step 4: Simplify right side
    1,665,460.50x = 12,841,612,006,880.25
  5. Step 5: Solve for x
    x = 12,841,612,006,880.25/1,665,460.50
  6. Step 6: Final answer
    x = 7,710,547.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.