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Finding the Third Proportional to 977,652 and 1,431,482

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Solution

The third proportional to 977,652 and 1,431,482 is: 2,095,981.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,652 : 1,431,482 = 1,431,482 : x
  2. Step 2: Convert to fraction form
    977,652/1,431,482 = 1,431,482/x
  3. Step 3: Cross multiply
    977,652x = 1,431,482 × 1,431,482
  4. Step 4: Simplify right side
    977,652x = 2,049,140,716,324
  5. Step 5: Solve for x
    x = 2,049,140,716,324/977,652
  6. Step 6: Final answer
    x = 2,095,981.72

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Why These Related Problems?

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