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Finding the Third Proportional to 553,971 and 1,184,730

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Solution

The third proportional to 553,971 and 1,184,730 is: 2,533,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,971 : 1,184,730 = 1,184,730 : x
  2. Step 2: Convert to fraction form
    553,971/1,184,730 = 1,184,730/x
  3. Step 3: Cross multiply
    553,971x = 1,184,730 × 1,184,730
  4. Step 4: Simplify right side
    553,971x = 1,403,585,172,900
  5. Step 5: Solve for x
    x = 1,403,585,172,900/553,971
  6. Step 6: Final answer
    x = 2,533,679.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.