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Finding the Third Proportional to 692,465 and 1,035,929

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Solution

The third proportional to 692,465 and 1,035,929 is: 1,549,751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,465 : 1,035,929 = 1,035,929 : x
  2. Step 2: Convert to fraction form
    692,465/1,035,929 = 1,035,929/x
  3. Step 3: Cross multiply
    692,465x = 1,035,929 × 1,035,929
  4. Step 4: Simplify right side
    692,465x = 1,073,148,893,041
  5. Step 5: Solve for x
    x = 1,073,148,893,041/692,465
  6. Step 6: Final answer
    x = 1,549,751.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.