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Finding the Third Proportional to 970,929 and 1,507,514

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Solution

The third proportional to 970,929 and 1,507,514 is: 2,340,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,929 : 1,507,514 = 1,507,514 : x
  2. Step 2: Convert to fraction form
    970,929/1,507,514 = 1,507,514/x
  3. Step 3: Cross multiply
    970,929x = 1,507,514 × 1,507,514
  4. Step 4: Simplify right side
    970,929x = 2,272,598,460,196
  5. Step 5: Solve for x
    x = 2,272,598,460,196/970,929
  6. Step 6: Final answer
    x = 2,340,643.30

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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.