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Finding the Third Proportional to 977,037 and 2,152,854

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Solution

The third proportional to 977,037 and 2,152,854 is: 4,743,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,037 : 2,152,854 = 2,152,854 : x
  2. Step 2: Convert to fraction form
    977,037/2,152,854 = 2,152,854/x
  3. Step 3: Cross multiply
    977,037x = 2,152,854 × 2,152,854
  4. Step 4: Simplify right side
    977,037x = 4,634,780,345,316
  5. Step 5: Solve for x
    x = 4,634,780,345,316/977,037
  6. Step 6: Final answer
    x = 4,743,710.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.