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Finding the Third Proportional to 670,140 and 1,036,315

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Solution

The third proportional to 670,140 and 1,036,315 is: 1,602,573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,140 : 1,036,315 = 1,036,315 : x
  2. Step 2: Convert to fraction form
    670,140/1,036,315 = 1,036,315/x
  3. Step 3: Cross multiply
    670,140x = 1,036,315 × 1,036,315
  4. Step 4: Simplify right side
    670,140x = 1,073,948,779,225
  5. Step 5: Solve for x
    x = 1,073,948,779,225/670,140
  6. Step 6: Final answer
    x = 1,602,573.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.