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Finding the Third Proportional to 2,116,820 and 4,506,745

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Solution

The third proportional to 2,116,820 and 4,506,745 is: 9,594,935.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116,820 : 4,506,745 = 4,506,745 : x
  2. Step 2: Convert to fraction form
    2,116,820/4,506,745 = 4,506,745/x
  3. Step 3: Cross multiply
    2,116,820x = 4,506,745 × 4,506,745
  4. Step 4: Simplify right side
    2,116,820x = 20,310,750,495,025
  5. Step 5: Solve for x
    x = 20,310,750,495,025/2,116,820
  6. Step 6: Final answer
    x = 9,594,935.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.