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Finding the Third Proportional to 671,490 and 1,546,411.50

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Solution

The third proportional to 671,490 and 1,546,411.50 is: 3,561,316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,490 : 1,546,411.50 = 1,546,411.50 : x
  2. Step 2: Convert to fraction form
    671,490/1,546,411.50 = 1,546,411.50/x
  3. Step 3: Cross multiply
    671,490x = 1,546,411.50 × 1,546,411.50
  4. Step 4: Simplify right side
    671,490x = 2,391,388,527,332.25
  5. Step 5: Solve for x
    x = 2,391,388,527,332.25/671,490
  6. Step 6: Final answer
    x = 3,561,316.66

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.