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Finding the Third Proportional to 4,574,476 and 6,728,658

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Solution

The third proportional to 4,574,476 and 6,728,658 is: 9,897,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574,476 : 6,728,658 = 6,728,658 : x
  2. Step 2: Convert to fraction form
    4,574,476/6,728,658 = 6,728,658/x
  3. Step 3: Cross multiply
    4,574,476x = 6,728,658 × 6,728,658
  4. Step 4: Simplify right side
    4,574,476x = 45,274,838,480,964
  5. Step 5: Solve for x
    x = 45,274,838,480,964/4,574,476
  6. Step 6: Final answer
    x = 9,897,273.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.