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Finding the Third Proportional to 897,006 and 1,426,429

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Solution

The third proportional to 897,006 and 1,426,429 is: 2,268,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,006 : 1,426,429 = 1,426,429 : x
  2. Step 2: Convert to fraction form
    897,006/1,426,429 = 1,426,429/x
  3. Step 3: Cross multiply
    897,006x = 1,426,429 × 1,426,429
  4. Step 4: Simplify right side
    897,006x = 2,034,699,692,041
  5. Step 5: Solve for x
    x = 2,034,699,692,041/897,006
  6. Step 6: Final answer
    x = 2,268,323.39

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.