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Finding the Third Proportional to 590,326,090 and 1,291,856,675

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Solution

The third proportional to 590,326,090 and 1,291,856,675 is: 2,827,070,829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,326,090 : 1,291,856,675 = 1,291,856,675 : x
  2. Step 2: Convert to fraction form
    590,326,090/1,291,856,675 = 1,291,856,675/x
  3. Step 3: Cross multiply
    590,326,090x = 1,291,856,675 × 1,291,856,675
  4. Step 4: Simplify right side
    590,326,090x = 1,668,893,668,742,055,680
  5. Step 5: Solve for x
    x = 1,668,893,668,742,055,680/590,326,090
  6. Step 6: Final answer
    x = 2,827,070,829.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.