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Finding the Third Proportional to 1,588,013.86 and 3,406,554.98

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Solution

The third proportional to 1,588,013.86 and 3,406,554.98 is: 7,307,629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588,013.86 : 3,406,554.98 = 3,406,554.98 : x
  2. Step 2: Convert to fraction form
    1,588,013.86/3,406,554.98 = 3,406,554.98/x
  3. Step 3: Cross multiply
    1,588,013.86x = 3,406,554.98 × 3,406,554.98
  4. Step 4: Simplify right side
    1,588,013.86x = 11,604,616,861,570.16
  5. Step 5: Solve for x
    x = 11,604,616,861,570.16/1,588,013.86
  6. Step 6: Final answer
    x = 7,307,629.46

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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.