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Finding the Third Proportional to 645,436 and 1,401,248

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Solution

The third proportional to 645,436 and 1,401,248 is: 3,042,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,436 : 1,401,248 = 1,401,248 : x
  2. Step 2: Convert to fraction form
    645,436/1,401,248 = 1,401,248/x
  3. Step 3: Cross multiply
    645,436x = 1,401,248 × 1,401,248
  4. Step 4: Simplify right side
    645,436x = 1,963,495,957,504
  5. Step 5: Solve for x
    x = 1,963,495,957,504/645,436
  6. Step 6: Final answer
    x = 3,042,123.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.