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Finding the Third Proportional to 4,217,894 and 6,386,004

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Solution

The third proportional to 4,217,894 and 6,386,004 is: 9,668,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217,894 : 6,386,004 = 6,386,004 : x
  2. Step 2: Convert to fraction form
    4,217,894/6,386,004 = 6,386,004/x
  3. Step 3: Cross multiply
    4,217,894x = 6,386,004 × 6,386,004
  4. Step 4: Simplify right side
    4,217,894x = 40,781,047,088,016
  5. Step 5: Solve for x
    x = 40,781,047,088,016/4,217,894
  6. Step 6: Final answer
    x = 9,668,580.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.