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Finding the Third Proportional to 738,428 and 1,106,411

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Solution

The third proportional to 738,428 and 1,106,411 is: 1,657,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,428 : 1,106,411 = 1,106,411 : x
  2. Step 2: Convert to fraction form
    738,428/1,106,411 = 1,106,411/x
  3. Step 3: Cross multiply
    738,428x = 1,106,411 × 1,106,411
  4. Step 4: Simplify right side
    738,428x = 1,224,145,300,921
  5. Step 5: Solve for x
    x = 1,224,145,300,921/738,428
  6. Step 6: Final answer
    x = 1,657,772.05

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Why These Related Problems?

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