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Finding the Third Proportional to 1,430,874.50 and 3,032,335

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Solution

The third proportional to 1,430,874.50 and 3,032,335 is: 6,426,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,874.50 : 3,032,335 = 3,032,335 : x
  2. Step 2: Convert to fraction form
    1,430,874.50/3,032,335 = 3,032,335/x
  3. Step 3: Cross multiply
    1,430,874.50x = 3,032,335 × 3,032,335
  4. Step 4: Simplify right side
    1,430,874.50x = 9,195,055,552,225
  5. Step 5: Solve for x
    x = 9,195,055,552,225/1,430,874.50
  6. Step 6: Final answer
    x = 6,426,178.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.