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Finding the Third Proportional to 710,014 and 1,528,284

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Solution

The third proportional to 710,014 and 1,528,284 is: 3,289,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,014 : 1,528,284 = 1,528,284 : x
  2. Step 2: Convert to fraction form
    710,014/1,528,284 = 1,528,284/x
  3. Step 3: Cross multiply
    710,014x = 1,528,284 × 1,528,284
  4. Step 4: Simplify right side
    710,014x = 2,335,651,984,656
  5. Step 5: Solve for x
    x = 2,335,651,984,656/710,014
  6. Step 6: Final answer
    x = 3,289,585.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.