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Finding the Third Proportional to 2,411,507 and 3,732,321

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Solution

The third proportional to 2,411,507 and 3,732,321 is: 5,776,562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411,507 : 3,732,321 = 3,732,321 : x
  2. Step 2: Convert to fraction form
    2,411,507/3,732,321 = 3,732,321/x
  3. Step 3: Cross multiply
    2,411,507x = 3,732,321 × 3,732,321
  4. Step 4: Simplify right side
    2,411,507x = 13,930,220,047,041
  5. Step 5: Solve for x
    x = 13,930,220,047,041/2,411,507
  6. Step 6: Final answer
    x = 5,776,562.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.