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Finding the Third Proportional to 1,577,490 and 2,365,467

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Solution

The third proportional to 1,577,490 and 2,365,467 is: 3,547,048.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,490 : 2,365,467 = 2,365,467 : x
  2. Step 2: Convert to fraction form
    1,577,490/2,365,467 = 2,365,467/x
  3. Step 3: Cross multiply
    1,577,490x = 2,365,467 × 2,365,467
  4. Step 4: Simplify right side
    1,577,490x = 5,595,434,128,089
  5. Step 5: Solve for x
    x = 5,595,434,128,089/1,577,490
  6. Step 6: Final answer
    x = 3,547,048.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.