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Finding the Third Proportional to 977,653.50 and 1,431,480

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Solution

The third proportional to 977,653.50 and 1,431,480 is: 2,095,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,653.50 : 1,431,480 = 1,431,480 : x
  2. Step 2: Convert to fraction form
    977,653.50/1,431,480 = 1,431,480/x
  3. Step 3: Cross multiply
    977,653.50x = 1,431,480 × 1,431,480
  4. Step 4: Simplify right side
    977,653.50x = 2,049,134,990,400
  5. Step 5: Solve for x
    x = 2,049,134,990,400/977,653.50
  6. Step 6: Final answer
    x = 2,095,972.64

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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.