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Finding the Third Proportional to 1,243,415 and 1,977,221

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Solution

The third proportional to 1,243,415 and 1,977,221 is: 3,144,085.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,415 : 1,977,221 = 1,977,221 : x
  2. Step 2: Convert to fraction form
    1,243,415/1,977,221 = 1,977,221/x
  3. Step 3: Cross multiply
    1,243,415x = 1,977,221 × 1,977,221
  4. Step 4: Simplify right side
    1,243,415x = 3,909,402,882,841
  5. Step 5: Solve for x
    x = 3,909,402,882,841/1,243,415
  6. Step 6: Final answer
    x = 3,144,085.35

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.