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Finding the Third Proportional to 692,583 and 1,106,434.50

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Solution

The third proportional to 692,583 and 1,106,434.50 is: 1,767,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,583 : 1,106,434.50 = 1,106,434.50 : x
  2. Step 2: Convert to fraction form
    692,583/1,106,434.50 = 1,106,434.50/x
  3. Step 3: Cross multiply
    692,583x = 1,106,434.50 × 1,106,434.50
  4. Step 4: Simplify right side
    692,583x = 1,224,197,302,790.25
  5. Step 5: Solve for x
    x = 1,224,197,302,790.25/692,583
  6. Step 6: Final answer
    x = 1,767,582.08

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.