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Finding the Third Proportional to 1,136,946 and 2,431,428

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Solution

The third proportional to 1,136,946 and 2,431,428 is: 5,199,756.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136,946 : 2,431,428 = 2,431,428 : x
  2. Step 2: Convert to fraction form
    1,136,946/2,431,428 = 2,431,428/x
  3. Step 3: Cross multiply
    1,136,946x = 2,431,428 × 2,431,428
  4. Step 4: Simplify right side
    1,136,946x = 5,911,842,119,184
  5. Step 5: Solve for x
    x = 5,911,842,119,184/1,136,946
  6. Step 6: Final answer
    x = 5,199,756.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.