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Finding the Third Proportional to 654,912 and 1,041,417

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Solution

The third proportional to 654,912 and 1,041,417 is: 1,656,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,912 : 1,041,417 = 1,041,417 : x
  2. Step 2: Convert to fraction form
    654,912/1,041,417 = 1,041,417/x
  3. Step 3: Cross multiply
    654,912x = 1,041,417 × 1,041,417
  4. Step 4: Simplify right side
    654,912x = 1,084,549,367,889
  5. Step 5: Solve for x
    x = 1,084,549,367,889/654,912
  6. Step 6: Final answer
    x = 1,656,023.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.