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Finding the Third Proportional to 768,280 and 1,106,654

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Solution

The third proportional to 768,280 and 1,106,654 is: 1,594,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,280 : 1,106,654 = 1,106,654 : x
  2. Step 2: Convert to fraction form
    768,280/1,106,654 = 1,106,654/x
  3. Step 3: Cross multiply
    768,280x = 1,106,654 × 1,106,654
  4. Step 4: Simplify right side
    768,280x = 1,224,683,075,716
  5. Step 5: Solve for x
    x = 1,224,683,075,716/768,280
  6. Step 6: Final answer
    x = 1,594,058.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.