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Finding the Third Proportional to 990,480 and 2,138,592

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Solution

The third proportional to 990,480 and 2,138,592 is: 4,617,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    990,480 : 2,138,592 = 2,138,592 : x
  2. Step 2: Convert to fraction form
    990,480/2,138,592 = 2,138,592/x
  3. Step 3: Cross multiply
    990,480x = 2,138,592 × 2,138,592
  4. Step 4: Simplify right side
    990,480x = 4,573,575,742,464
  5. Step 5: Solve for x
    x = 4,573,575,742,464/990,480
  6. Step 6: Final answer
    x = 4,617,534.67

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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.