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Finding the Third Proportional to 762,570 and 1,506,004

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Solution

The third proportional to 762,570 and 1,506,004 is: 2,974,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,570 : 1,506,004 = 1,506,004 : x
  2. Step 2: Convert to fraction form
    762,570/1,506,004 = 1,506,004/x
  3. Step 3: Cross multiply
    762,570x = 1,506,004 × 1,506,004
  4. Step 4: Simplify right side
    762,570x = 2,268,048,048,016
  5. Step 5: Solve for x
    x = 2,268,048,048,016/762,570
  6. Step 6: Final answer
    x = 2,974,216.20

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.