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Finding the Third Proportional to 710,642 and 938,955

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Solution

The third proportional to 710,642 and 938,955 is: 1,240,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,642 : 938,955 = 938,955 : x
  2. Step 2: Convert to fraction form
    710,642/938,955 = 938,955/x
  3. Step 3: Cross multiply
    710,642x = 938,955 × 938,955
  4. Step 4: Simplify right side
    710,642x = 881,636,492,025
  5. Step 5: Solve for x
    x = 881,636,492,025/710,642
  6. Step 6: Final answer
    x = 1,240,619.74

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.