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Finding the Third Proportional to 856,056 and 1,854,776

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Solution

The third proportional to 856,056 and 1,854,776 is: 4,018,655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,056 : 1,854,776 = 1,854,776 : x
  2. Step 2: Convert to fraction form
    856,056/1,854,776 = 1,854,776/x
  3. Step 3: Cross multiply
    856,056x = 1,854,776 × 1,854,776
  4. Step 4: Simplify right side
    856,056x = 3,440,194,010,176
  5. Step 5: Solve for x
    x = 3,440,194,010,176/856,056
  6. Step 6: Final answer
    x = 4,018,655.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.