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Finding the Third Proportional to 655,506 and 1,430,164

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Solution

The third proportional to 655,506 and 1,430,164 is: 3,120,290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,506 : 1,430,164 = 1,430,164 : x
  2. Step 2: Convert to fraction form
    655,506/1,430,164 = 1,430,164/x
  3. Step 3: Cross multiply
    655,506x = 1,430,164 × 1,430,164
  4. Step 4: Simplify right side
    655,506x = 2,045,369,066,896
  5. Step 5: Solve for x
    x = 2,045,369,066,896/655,506
  6. Step 6: Final answer
    x = 3,120,290.38

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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.