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Finding the Third Proportional to 2,413,312 and 4,765,712

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Solution

The third proportional to 2,413,312 and 4,765,712 is: 9,411,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413,312 : 4,765,712 = 4,765,712 : x
  2. Step 2: Convert to fraction form
    2,413,312/4,765,712 = 4,765,712/x
  3. Step 3: Cross multiply
    2,413,312x = 4,765,712 × 4,765,712
  4. Step 4: Simplify right side
    2,413,312x = 22,712,010,866,944
  5. Step 5: Solve for x
    x = 22,712,010,866,944/2,413,312
  6. Step 6: Final answer
    x = 9,411,137.42

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.