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Finding the Third Proportional to 712,903,707 and 1,090,549,503

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Solution

The third proportional to 712,903,707 and 1,090,549,503 is: 1,668,245,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,903,707 : 1,090,549,503 = 1,090,549,503 : x
  2. Step 2: Convert to fraction form
    712,903,707/1,090,549,503 = 1,090,549,503/x
  3. Step 3: Cross multiply
    712,903,707x = 1,090,549,503 × 1,090,549,503
  4. Step 4: Simplify right side
    712,903,707x = 1,189,298,218,493,547,008
  5. Step 5: Solve for x
    x = 1,189,298,218,493,547,008/712,903,707
  6. Step 6: Final answer
    x = 1,668,245,243.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.