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Finding the Third Proportional to 738,476 and 1,106,484

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Solution

The third proportional to 738,476 and 1,106,484 is: 1,657,883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,476 : 1,106,484 = 1,106,484 : x
  2. Step 2: Convert to fraction form
    738,476/1,106,484 = 1,106,484/x
  3. Step 3: Cross multiply
    738,476x = 1,106,484 × 1,106,484
  4. Step 4: Simplify right side
    738,476x = 1,224,306,842,256
  5. Step 5: Solve for x
    x = 1,224,306,842,256/738,476
  6. Step 6: Final answer
    x = 1,657,883.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.