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Finding the Third Proportional to 4,644,670 and 6,830,417

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Solution

The third proportional to 4,644,670 and 6,830,417 is: 10,044,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644,670 : 6,830,417 = 6,830,417 : x
  2. Step 2: Convert to fraction form
    4,644,670/6,830,417 = 6,830,417/x
  3. Step 3: Cross multiply
    4,644,670x = 6,830,417 × 6,830,417
  4. Step 4: Simplify right side
    4,644,670x = 46,654,596,393,889
  5. Step 5: Solve for x
    x = 46,654,596,393,889/4,644,670
  6. Step 6: Final answer
    x = 10,044,760.21

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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.