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Finding the Third Proportional to 470,178 and 1,030,461.75

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Solution

The third proportional to 470,178 and 1,030,461.75 is: 2,258,403.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,178 : 1,030,461.75 = 1,030,461.75 : x
  2. Step 2: Convert to fraction form
    470,178/1,030,461.75 = 1,030,461.75/x
  3. Step 3: Cross multiply
    470,178x = 1,030,461.75 × 1,030,461.75
  4. Step 4: Simplify right side
    470,178x = 1,061,851,418,213.06
  5. Step 5: Solve for x
    x = 1,061,851,418,213.06/470,178
  6. Step 6: Final answer
    x = 2,258,403.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.