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Finding the Third Proportional to 1,506,114 and 2,294,466.75

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Solution

The third proportional to 1,506,114 and 2,294,466.75 is: 3,495,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506,114 : 2,294,466.75 = 2,294,466.75 : x
  2. Step 2: Convert to fraction form
    1,506,114/2,294,466.75 = 2,294,466.75/x
  3. Step 3: Cross multiply
    1,506,114x = 2,294,466.75 × 2,294,466.75
  4. Step 4: Simplify right side
    1,506,114x = 5,264,577,666,855.56
  5. Step 5: Solve for x
    x = 5,264,577,666,855.56/1,506,114
  6. Step 6: Final answer
    x = 3,495,470.91

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.