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Finding the Third Proportional to 946,646 and 1,429,826

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Solution

The third proportional to 946,646 and 1,429,826 is: 2,159,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,646 : 1,429,826 = 1,429,826 : x
  2. Step 2: Convert to fraction form
    946,646/1,429,826 = 1,429,826/x
  3. Step 3: Cross multiply
    946,646x = 1,429,826 × 1,429,826
  4. Step 4: Simplify right side
    946,646x = 2,044,402,390,276
  5. Step 5: Solve for x
    x = 2,044,402,390,276/946,646
  6. Step 6: Final answer
    x = 2,159,627.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.