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Finding the Third Proportional to 1,924,160 and 4,176,206

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Solution

The third proportional to 1,924,160 and 4,176,206 is: 9,064,057.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924,160 : 4,176,206 = 4,176,206 : x
  2. Step 2: Convert to fraction form
    1,924,160/4,176,206 = 4,176,206/x
  3. Step 3: Cross multiply
    1,924,160x = 4,176,206 × 4,176,206
  4. Step 4: Simplify right side
    1,924,160x = 17,440,696,554,436
  5. Step 5: Solve for x
    x = 17,440,696,554,436/1,924,160
  6. Step 6: Final answer
    x = 9,064,057.33

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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.