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Finding the Third Proportional to 698,370 and 1,046,403

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Solution

The third proportional to 698,370 and 1,046,403 is: 1,567,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,370 : 1,046,403 = 1,046,403 : x
  2. Step 2: Convert to fraction form
    698,370/1,046,403 = 1,046,403/x
  3. Step 3: Cross multiply
    698,370x = 1,046,403 × 1,046,403
  4. Step 4: Simplify right side
    698,370x = 1,094,959,238,409
  5. Step 5: Solve for x
    x = 1,094,959,238,409/698,370
  6. Step 6: Final answer
    x = 1,567,878.40

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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.