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Finding the Third Proportional to 900,564 and 1,369,413

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Solution

The third proportional to 900,564 and 1,369,413 is: 2,082,352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,564 : 1,369,413 = 1,369,413 : x
  2. Step 2: Convert to fraction form
    900,564/1,369,413 = 1,369,413/x
  3. Step 3: Cross multiply
    900,564x = 1,369,413 × 1,369,413
  4. Step 4: Simplify right side
    900,564x = 1,875,291,964,569
  5. Step 5: Solve for x
    x = 1,875,291,964,569/900,564
  6. Step 6: Final answer
    x = 2,082,352.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.