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Finding the Third Proportional to 3,018,460 and 4,566,576

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Solution

The third proportional to 3,018,460 and 4,566,576 is: 6,908,693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018,460 : 4,566,576 = 4,566,576 : x
  2. Step 2: Convert to fraction form
    3,018,460/4,566,576 = 4,566,576/x
  3. Step 3: Cross multiply
    3,018,460x = 4,566,576 × 4,566,576
  4. Step 4: Simplify right side
    3,018,460x = 20,853,616,363,776
  5. Step 5: Solve for x
    x = 20,853,616,363,776/3,018,460
  6. Step 6: Final answer
    x = 6,908,693.96

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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.