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Finding the Third Proportional to 713,130 and 1,585,706

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Solution

The third proportional to 713,130 and 1,585,706 is: 3,525,953.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,130 : 1,585,706 = 1,585,706 : x
  2. Step 2: Convert to fraction form
    713,130/1,585,706 = 1,585,706/x
  3. Step 3: Cross multiply
    713,130x = 1,585,706 × 1,585,706
  4. Step 4: Simplify right side
    713,130x = 2,514,463,518,436
  5. Step 5: Solve for x
    x = 2,514,463,518,436/713,130
  6. Step 6: Final answer
    x = 3,525,953.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.