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Finding the Third Proportional to 970,308 and 1,475,048

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Solution

The third proportional to 970,308 and 1,475,048 is: 2,242,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,308 : 1,475,048 = 1,475,048 : x
  2. Step 2: Convert to fraction form
    970,308/1,475,048 = 1,475,048/x
  3. Step 3: Cross multiply
    970,308x = 1,475,048 × 1,475,048
  4. Step 4: Simplify right side
    970,308x = 2,175,766,602,304
  5. Step 5: Solve for x
    x = 2,175,766,602,304/970,308
  6. Step 6: Final answer
    x = 2,242,346.35

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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.