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Finding the Third Proportional to 849,649,546 and 1,312,207,360

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Solution

The third proportional to 849,649,546 and 1,312,207,360 is: 2,026,586,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,649,546 : 1,312,207,360 = 1,312,207,360 : x
  2. Step 2: Convert to fraction form
    849,649,546/1,312,207,360 = 1,312,207,360/x
  3. Step 3: Cross multiply
    849,649,546x = 1,312,207,360 × 1,312,207,360
  4. Step 4: Simplify right side
    849,649,546x = 1,721,888,155,638,169,600
  5. Step 5: Solve for x
    x = 1,721,888,155,638,169,600/849,649,546
  6. Step 6: Final answer
    x = 2,026,586,330.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.