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Finding the Third Proportional to 649,920 and 1,402,598.25

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Solution

The third proportional to 649,920 and 1,402,598.25 is: 3,026,960.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,920 : 1,402,598.25 = 1,402,598.25 : x
  2. Step 2: Convert to fraction form
    649,920/1,402,598.25 = 1,402,598.25/x
  3. Step 3: Cross multiply
    649,920x = 1,402,598.25 × 1,402,598.25
  4. Step 4: Simplify right side
    649,920x = 1,967,281,850,903.06
  5. Step 5: Solve for x
    x = 1,967,281,850,903.06/649,920
  6. Step 6: Final answer
    x = 3,026,960.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.