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Finding the Third Proportional to 581,650 and 1,230,364

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Solution

The third proportional to 581,650 and 1,230,364 is: 2,602,588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,650 : 1,230,364 = 1,230,364 : x
  2. Step 2: Convert to fraction form
    581,650/1,230,364 = 1,230,364/x
  3. Step 3: Cross multiply
    581,650x = 1,230,364 × 1,230,364
  4. Step 4: Simplify right side
    581,650x = 1,513,795,572,496
  5. Step 5: Solve for x
    x = 1,513,795,572,496/581,650
  6. Step 6: Final answer
    x = 2,602,588.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.