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Finding the Third Proportional to 977,472 and 1,431,216

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Solution

The third proportional to 977,472 and 1,431,216 is: 2,095,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,472 : 1,431,216 = 1,431,216 : x
  2. Step 2: Convert to fraction form
    977,472/1,431,216 = 1,431,216/x
  3. Step 3: Cross multiply
    977,472x = 1,431,216 × 1,431,216
  4. Step 4: Simplify right side
    977,472x = 2,048,379,238,656
  5. Step 5: Solve for x
    x = 2,048,379,238,656/977,472
  6. Step 6: Final answer
    x = 2,095,588.66

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.