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Finding the Third Proportional to 977,683 and 1,431,524

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Solution

The third proportional to 977,683 and 1,431,524 is: 2,096,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,683 : 1,431,524 = 1,431,524 : x
  2. Step 2: Convert to fraction form
    977,683/1,431,524 = 1,431,524/x
  3. Step 3: Cross multiply
    977,683x = 1,431,524 × 1,431,524
  4. Step 4: Simplify right side
    977,683x = 2,049,260,962,576
  5. Step 5: Solve for x
    x = 2,049,260,962,576/977,683
  6. Step 6: Final answer
    x = 2,096,038.25

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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.