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Finding the Third Proportional to 2,574,921 and 4,076,433.75

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Solution

The third proportional to 2,574,921 and 4,076,433.75 is: 6,453,523.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574,921 : 4,076,433.75 = 4,076,433.75 : x
  2. Step 2: Convert to fraction form
    2,574,921/4,076,433.75 = 4,076,433.75/x
  3. Step 3: Cross multiply
    2,574,921x = 4,076,433.75 × 4,076,433.75
  4. Step 4: Simplify right side
    2,574,921x = 16,617,312,118,139.06
  5. Step 5: Solve for x
    x = 16,617,312,118,139.06/2,574,921
  6. Step 6: Final answer
    x = 6,453,523.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.