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Finding the Third Proportional to 922,605 and 1,298,664

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Solution

The third proportional to 922,605 and 1,298,664 is: 1,828,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,605 : 1,298,664 = 1,298,664 : x
  2. Step 2: Convert to fraction form
    922,605/1,298,664 = 1,298,664/x
  3. Step 3: Cross multiply
    922,605x = 1,298,664 × 1,298,664
  4. Step 4: Simplify right side
    922,605x = 1,686,528,184,896
  5. Step 5: Solve for x
    x = 1,686,528,184,896/922,605
  6. Step 6: Final answer
    x = 1,828,006.77

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.