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Finding the Third Proportional to 670,242 and 1,458,423

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Solution

The third proportional to 670,242 and 1,458,423 is: 3,173,477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,242 : 1,458,423 = 1,458,423 : x
  2. Step 2: Convert to fraction form
    670,242/1,458,423 = 1,458,423/x
  3. Step 3: Cross multiply
    670,242x = 1,458,423 × 1,458,423
  4. Step 4: Simplify right side
    670,242x = 2,126,997,646,929
  5. Step 5: Solve for x
    x = 2,126,997,646,929/670,242
  6. Step 6: Final answer
    x = 3,173,477.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.