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Finding the Third Proportional to 975,480 and 2,129,712

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Solution

The third proportional to 975,480 and 2,129,712 is: 4,649,683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,480 : 2,129,712 = 2,129,712 : x
  2. Step 2: Convert to fraction form
    975,480/2,129,712 = 2,129,712/x
  3. Step 3: Cross multiply
    975,480x = 2,129,712 × 2,129,712
  4. Step 4: Simplify right side
    975,480x = 4,535,673,202,944
  5. Step 5: Solve for x
    x = 4,535,673,202,944/975,480
  6. Step 6: Final answer
    x = 4,649,683.44

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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.