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Finding the Third Proportional to 732,547 and 1,570,223

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Solution

The third proportional to 732,547 and 1,570,223 is: 3,365,791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,547 : 1,570,223 = 1,570,223 : x
  2. Step 2: Convert to fraction form
    732,547/1,570,223 = 1,570,223/x
  3. Step 3: Cross multiply
    732,547x = 1,570,223 × 1,570,223
  4. Step 4: Simplify right side
    732,547x = 2,465,600,269,729
  5. Step 5: Solve for x
    x = 2,465,600,269,729/732,547
  6. Step 6: Final answer
    x = 3,365,791.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.